Continuous probability distributions

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.

• true

• false

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

• true

• false

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?

• 1/2

• 1/4

• 1/5

• 2/5

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?

• 25%

• 50%

• 50.3%

• 75%

What shape is a normal distribution curve?

• Half curve

• Round curve

• Bell curve

• Square curve

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

• Frequency Distribution

• Standard Normal Distribution

• Z-score

• Binomial probability distribution

• 16.17

• 12.89

• 15.67

• 17.16

The normal cutoff for the event that is at most 4

• Use x=3

• Use x=3.5

• Use x=4

• Use x=4.5

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?

• 0.0968

• 0.9032

• 0.119

• 0.881

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?

• 0.2546

• 0.3228

• 0.7454

• 0.6772