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Continuous probability distributions

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

The probability for a given range of a continuous random variable can be calculated by measuring the area underneath the density function in that range.

a)

true

b)

false

2.

The shape of uniform distribution is symmetric, mesokurtic, and bell-shaped. 

a)

true

b)

false

3.

A shuttle train at a busy airport completes a circuit between two terminals every five minutes and follows a uniform distribution. Set up the graph representing this situation. What is the height of the graph?

a)

1/2

b)

1/4

c)

1/5

d)

2/5

4.

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  Approximately what percent of days in February will have days below 23 degrees?

a)

25%

b)

50%

c)

50.3%

d)

75%

5.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

6.

What is the distribution with a mean of 0 and a standard deviation of 1called?

a)

Frequency Distribution

b)

Standard Normal Distribution

c)

Z-score

d)

Binomial probability distribution

7.

Calculate the standard deviation of a uniform distribution, knowing the domain is 12 \le  x \le  68

a)

16.17

b)

12.89

c)

15.67

d)

17.16

8.

The normal cutoff for the event that is at most 4

a)

Use x=3

b)

Use x=3.5

c)

Use x=4

d)

Use x=4.5

9.

The probability is .90 that a vending machine in the Oxnard University Student Center will dispense the desired item when correct change is inserted. If 200 customers try the machine, find the probability that (a) at least 175 will receive the desired item?

a)

0.0968

b)

0.9032

c)

0.119

d)

0.881

10.

On average, 28 patients per hour arrive in the Foxboro 24-Hour Walk-in Clinic on Friday between 6 p.m. and midnight. What is the approximate probability of fewer than 25 arrivals?

a)

0.2546

b)

0.3228

c)

0.7454

d)

0.6772

11.

What is NOT a characteristic of a random variable that is a candidate for normality?

a)

Be measured on a continuous scale

b)

Unimodal

c)

Exhibit tapering tails

d)

Don’t possess a clear center

12.

SUPER HARD: What does PDF in Continuous Probability Distribution stand for?

a)

Portable Document Format

b)

Probability Density Format

c)

Probability Dignity Function

d)

Probability Density Function

13.

Which of the following can be represented by a continuous random variable?

a)

 The high daily temperature in Tampa, Florida during the month of July, measured in degrees.

b)

The number of customers who visit a department store between 10:00 am and 11:00 am on Mondays.

c)

 The number of typos found on a randomly selected page of a textbook.

d)

The number of students who will get financial assistance in a group of 50 randomly selected students.