مساعدة في حل اسئلة الموقع التفاعلي احصاء 110 الباب الخامس والسادس

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احصاء 110 الباب الخامس والسادس


Question of chapter : Probability Distribution


If a player rolls one die and gets number 3, he wins $15. The cost to play the game is $6. What is the expected value of his gain?"

$ -3.8
$ -3.5
$ -3.6
$ -3.3

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If a player rolls one die and gets number 3 Or 1 , he wins $26. The cost to play the game is $8. What is the expected value of his gain?"

$ 0.47
$ 0.67
$ 0.97
$ 0.57

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What is the probability distribution for a family with two children? Let X represents the number of boys


X 0 1 2
P(X) 1/2 2/4 1/4

X 0 1 2
P(X) 1/4 1/2 1/4

X 0 1 2
P(X) 1/2 1/2 3/4

X 0 1 2
P(X) 1/4 1/4 1/2

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The random variable X represents the number of credit cards that adults have along with the corresponding probabilities. Find the expected value.
X 0 1 2 3 4
P(X) 0.13 0.05 0.05 0.1 0.67

3.23
2.93
3.13
3.43

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A random variable X has the following probability distribution:
X 1 2 3 6
P(X) K 0.15 0.2 0.2

Find the value of the constant K

K = 0.55
K =0.75
K = 0.45
K = 0.25

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A random variable X has the following probability distribution:
X -2 -1 0 1
P(X) 0.2 0.25 0.4 0.15

Find the values of the mean, variance and standard deviation

μ = -0.3, σ2 = 1.11, and σ = 1.05
μ = -0.4, σ2 = 1.04, and σ = 1.02
μ = -0.5, σ2 = 0.95, and σ = 0.97
μ = -0.8, σ2 = 0.56, and σ = 0.75

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According to traffic investigation study, there is 60% of the accidents resulted from the high speed.
If we choose a sample containing 300 accidents,
Find the Mean, Varinace, and Standard Deviation of accidents that resulted from high speed is:

μ = 179, σ2 = 67, and σ = 8.19
μ = 182, σ2 = 75, and σ = 8.66
μ = 180, σ2 = 72, and σ = 8.49
μ = 177, σ2 = 71, and σ = 8.43

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According to traffic investigation study, there is 80% of the accidents resulted from the high speed. seven accidentshave been chosen randomly.
What is the probability of AT LEAST two accidents resulted from the high speed?

1
0.005
0.009
0.004

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According to traffic investigation study, there is 90% of the accidents resulted from the high speed. seven accidentshave been chosen randomly.
What is the probability of AT MOST one accident resulted from the high speed?

0
1
0
0

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According to traffic investigation study, there is 70% of the accidents resulted from the high speed. five accidentshave been chosen randomly.
What is the probability of only one accident resulted from the high speed?

0.059
0.031
0.998
0.028

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According to a traffic investigation study, there is 80% of the accidents resulted from the high speed.
If six accidents have been chosen randomly, what is the probability of getting less than three accidents ?

0.082
0.099
0.017
0.983

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According to a traffic investigation study, there is 40% of the accidents resulted from the high speed.
If four accidents have been chosen randomly, what is the probability of getting more than one accident ?

0.475
0.87
0.525
0.346

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Question of chapter : Normail Distribution



Normal distribution curve is

unimodel
positively skewed

negatively skewed

all of the above

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The properities of normal distribution

mean = median = mode
mode > mean

mode < mean

A and B

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About 95% of the Area Under the part of standard normal Curve lies within

-1, 1
-3, 3
-4, 4
-2, 2

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The toatl area under a normal distribution curve is equal to

1-11.50.5

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Standard normal distibution

variance = 1
variance = 0
Standard deviation = 2
none of the above

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Find the a values such p (z < a) = 0.6808.

0.49
0.47
0.44
0.43

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Find the a values such p (z > a) = 0.9959.

-2.68
-2.64
-2.67
-2.62

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If the standard deviation of a population is 22 and we took a sample of size 16, then the standard error of the mean is

1.38
5
5.5
1.78

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P(z < -1.6) =

0.0548
0.9452
0.9752
0.0348

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Bank A assessment follows normal distribution, whose mean is 3.9 and standard deviation is 0.5
while bank B assessment follows normal distribution, whose mean is 3.6 and standard deviation is 0.2.
If there an assessment employee in bank A is 4.3 and if there is an assessment employee in bank B is 3.7
This means that:

The performance of employee in bank B is better than the The performance of employee in bank A
The performance of employee in bank A is better than the The performance of employee in bank B
We can not judgment
The two employees have same performance

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If the income of 1300 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the probability that the family income is more than 2200 SR.

0.8782
0.0918
0.1118
0.9082

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If the income of 950 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the number of families that their incomes are more than 1450 SR.

127
835
115
825

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If the income of 1200 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the Precentage of families that their incomes more than 2500 SR.

5.99%
7.99%
3.99%
0.99%

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If the income of 1200 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the probability that the family income is less than 2600 SR.

0.0038
0.9762
0.0338
0.9962

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If the income of 1200 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the number of families that their incomes are less than 1800 SR.

610
6600
600
6588

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If the income of 950 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the Precentage of families that their incomes less than 1550 SR.

13.33%
17.33%
20.33%
25.33%

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If the income of 1000 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the probability that the family income is between 1900 and 2050 SR.

0.7967
0.2033
0.1674
0.3707

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If the income of 1050 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the number of families that their incomes are between 2050 and 2450 SR.

213
16
198
1034

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If the income of 1000 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
Find the Precentage of families that their incomes between 1850 and 1900 SR.

11.18%
3.18%
13.18%
6.18%

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If the income of 1400 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
if 310 families ware selected at random. Find the probablabilty that the mean of families income is more than 1800 SR.

0.5
0.54
0.57
0.52

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If the income of 1200 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
if 250 families ware selected at random. Find the probablabilty that the mean of families income is less than 1850 SR.

-0.0259
0.0041
1.0159
0.9959

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If the income of 1000 families who live in a certain city, follows normal distribution, with mean 1800 SR and standard deviation is 300 SR.
if 370 families ware selected at random. Find the probablabilty that the mean of families income is between 1750 and 1850 SR.

0.9986
0.9993
0.9993
0.0007

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