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special distribution function

Total questions: 40

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
2.

In a gymnastics competition, each gymnast must perform four routines. For each routine Kieran has a 70% chance of performing without a mistake. Could this be modelled using a binomial distribution?

a)
b)
3.

Choose the correct sign

'probability more than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

4.

Choose the correct sign

'probability less than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

5.

Choose the correct sign

'probability at least than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

6.

Choose the correct sign

'probability at most than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

7.

Choose the correct sign

'probability between 4 and 9'

a)

P(4<X<9)

b)

P(4<X≤9)

c)

P(4≤X≤9)

d)

P(4≤X<9)

8.

Choose the correct sign

'probability from 4 to 9'

a)

P(4<X<9)

b)

P(4<X≤9)

c)

P(4≤X≤9)

d)

P(4≤X<9)

9.

Poisson is a __________ probability distribution

a)

random

b)

discrete

c)

continuous

10.

What is the parameter of Poisson distribution?

a)

μ\mu

b)

σ\sigma

c)

λ\lambda

11.

If the mean of a Poisson distribution is 4,what is its variance?

a)

4

b)

8

c)

16

12.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
13.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
14.

If the value we are looking for is smaller than the mean, the value of z is:

a)

Not enough information

b)

Negative

c)

Positive

d)

0

15.

If the value we are looking for is the same as the mean, the value of z is:

a)

Not enough information

b)

Positive

c)

Negative

d)

0

16.

which condition that we have to use Poisson Distribution to estimate Binomial Distribution?

a)

n<50, p>0.1

b)

n>50, p<0.1

c)

n<50, p<0.1

d)

n>50, p>0.1

17.

which condition that we have to use Normal Distribution to estimate Binomial Distribution?

a)

n<50, p>0.1

b)

n>50, p<0.1

c)

n<50, p<0.1

d)

n>50, p>0.1

18.

what are the parameter for Normal Distribution?

a)

mean and standard deviation

b)

variance and standard deviation

c)

mean and variance

19.

In a survey, it was found out that 5% of the students in a rural school have laptops. If the School A has 150 students, then which distribution best used?

a)

Binomial Distribution

b)

Poisson Distribution

c)

Poisson Distribution to estimate Binomial Distribution

d)

Normal Distribution to estimate Binomial Distribution

20.

80% of the books in the cupboard are academic books. If there are 70 books in the cupboard, then which distribution best used?

a)

Binomial Distribution

b)

Poisson Distribution

c)

Poisson Distribution to estimate Binomial Distribution

d)

Normal Distribution to estimate Binomial Distribution

21.
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
a)
69.37 in 
b)
67.58 in 
c)
73.12 in 
22.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
23.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 4.6 seconds?
a)
0.83
b)
1.07
c)
-2
d)
-1.07
24.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?
a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
25.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?
a)
0.3446
b)
0.2856
c)
0.4
d)
0.6554
26.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 
a)
81.5%
b)
47.5%
c)
68%
d)
95%
27.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
28.
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist   sizes greater than 31 inches?
a)
92.4%
b)
10.5%
c)
16%
d)
7.6%
29.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

30.
4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. What is the probability the player gets doubles more than twice in 4 attempts?
a)
0.016
b)
0.00077
c)
0.132
d)
0.004
31.
Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?
a)
100C70   ( 0.18  )30 ( 0.90  )70
b)
100C70   ( 0.10  )30 ( 0.90  )60
c)
100C70   ( 0.10  )30 ( 0.90  )70
d)
99C70   ( 0.10  )30 ( 0.90  )70
32.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

33.

Find the variance of a binomial distribution with 50 trials and p= 0.4

a)

12

b)

15

c)

10

d)

20

34.

Poisson distribution expresses the probability of events occurring in a fixed interval of _______ or _______.

a)

time, distance

b)

time, space

c)

distance, space

35.

If the mean of a Poisson distribution is 4,what is its variance?

a)

4

b)

8

c)

16

36.

The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?

a)

0.081

b)

0.672

c)

0.168

37.

A certain maternity wind has a mean number of 6 babies born a day. what is the probability of 7 babies being bornin this maternity wing on any given day?

a)

0.1377

b)

0.1490

c)

0.8571

38.

If X ∼\sim   PoP_o  (1.8), find P(2<X<5)

a)

0.5008

b)

0.2590

c)

0.2330

39.

Paul expected to receive 4 emails in a week.Find the probability of receiving 6 emails for the next 2 weeks?

a)

0.1221

b)

0.1041

c)

0.0531

40.

Paul expected to receive 4 emails in a week.Find the probability of receiving 6 emails for the next 2 weeks?

a)

0.1221

b)

0.1041

c)

0.0531

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