chap5

1

Consider the discrete probability distribution to the right. Complete parts a and b below.

Outcome	Probability
1	0.18
2	0.24
3	0.31
4	0.27

Question content area bottom

Part 1

a. Calculate the mean of this distribution.

=enter your response here

( an integer or a decimal.)

2

Consider the discrete probability distribution to the right. Complete parts a and b below.

Outcome	Probability
1	0.26
2	0.33
3	0.17
4	0.24

Question content area bottom

Part 1

a. Calculate the mean of this distribution.

=enter your response here

(an integer or a decimal.)

3

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n=50,

p=0.6

Question content area bottom

Part 1

The mean,

,

is

enter your response here.

(Round to the nearest tenth as needed.)

4

A recent survey of

1010

employees found that

24%

of them would lay off their bosses if they could. Complete parts a through d below based on a random sample of 10 employees.

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Part 1

a.

What

is the probability that exactly three employees would lay off their boss?

The probability is

enter your response here.

(Round to four decimal places as needed.)

5

A hotel claims that

85%

of its customers are very satisfied with its service. Complete parts a through d below based on a random sample of

five

customers.

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Part 1

a. What is the probability that exactly

four

customers are very satisfied?

enter your response here

(Round to four decimal places as needed.)

6

A Web site reported in 2018 that

46%

of all Web traffic comes from laptops and desktops. Complete parts a through d below based on if a random sample of

11

households was selected.

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Part 1

a. What is the probability that exactly two households used a laptop or desktop to access the web?

The probability is

enter your response here.

(Round to four decimal places as needed.)

7

Assume the number of births in a local hospital follows a Poisson distribution and averages

2.6

per day. Complete parts a through c.

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Part 1

a. What is the probability that no births will occur today?

The probability that no births will occur today is

enter your response here.

(Round to four decimal places as needed.)

8

Sara is a salesperson for Camera's Etc., which is a retailer for high-end digital cameras. Historically, Sara has averaged selling

1.4

extended warranties per day for cameras that she sells. Assume the number of camera warranties that Sara sells per day follows the Poisson distribution. Complete parts a through d.

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Part 1

a. What is the probability that Sara will sell

four

extended warranties tomorrow?

The probability that Sara will sell

four

extended warranties tomorrow is

enter your response here.

(Round to four decimal places as needed.)

9

A customer support center for a computer manufacturer receives an average of

2.4

phone calls every five minutes. Assume the number of calls received follows the Poisson distribution.

a. What is the probability that no calls will arrive during the next five minutes?

b. What is the probability that

3

or more calls will arrive during the next five minutes?

c. What is the probability that

3

calls will arrive during the next ten minutes?

d. What is the probability that no more than

2

calls will arrive during the next ten minutes?

Question content area bottom

Part 1

a. The probability that no calls will arrive during the next five minutes is

enter your response here.

(Round to four decimal places as needed.)

10

Consider a Poisson probability distribution. Determine the probability of exactly

five

occurrences for the following conditions.

a)

=2.0

b)

=3.0

c)

=4.0

d) What conclusions can be made about how these probabilities change with

?

Question content area bottom

Part 1

a) When

=2.0,

the probability of exactly

five

occurrences is

enter your response here.

(Round to four decimal places as needed.)