Exam 6: Continuous Probability Distributions

Exhibit 6-3 Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-3. The probability density function has what value in the interval between 20 and 28?

Given that Z is a standard normal random variable, what is the probability that -2.08 Z 1.46?

Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. -Refer to Exhibit 6-1. The probability of assembling the product in 7 minutes or more is

The center of a normal curve is

A major credit card company has determined that its customers charge an average of $280 per month on their accounts with a standard deviation of $20. a.What percentage of the customers charges more than $275 per month? b.What percentage of the customers charges less than $243 per month? c.What percentage of the customers charges between $241 and $301.60 per month?

The price of a bond is uniformly distributed between $80 and $85. a.What is the probability that the bond price will be at least $83? b.What is the probability that the bond price will be between $81 to $90? c.Determine the expected price of the bond. d.Compute the standard deviation for the bond price.

In a standard normal distribution, the probability that Z is greater than zero is

Exhibit 6-2 The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. -Refer to Exhibit 6-2. The probability of a player weighing more than 241.25 pounds is

For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is

Exhibit 6-2 The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. -Refer to Exhibit 6-2. What percent of players weigh between 180 and 220 pounds?

Given that Z is a standard normal random variable, what is the probability that -2.51 Z -1.53?

Exhibit 6-9 The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220. Furthermore, it is known that the computer prices manufactured by MNM are normally distributed. -Refer to Exhibit 6-9. What is the probability that a randomly selected computer will have a price of at least $1,530?

The time it takes to hand carve a guitar neck is uniformly distributed between 110 and 190 minutes. a.What is the probability that a guitar neck can be carved between 95 and 165 minutes? b.What is the probability that the guitar neck can be carved between 120 and 200 minutes? c.Determine the expected completion time for carving the guitar neck. d.Compute the standard deviation.

Exhibit 6-3 Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-3. The mean of X is

Exhibit 6-10 A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. -Refer to Exhibit 6-10. The professor has informed us that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A?

Z is a standard normal random variable. The P(Z > 2.11) equals

Z is a standard normal random variable. The P (-1.20 Z 1.50) equals

The highest point of a normal curve occurs at

The function that defines the probability distribution of a continuous random variable is a

For a normal distribution, a negative value of z indicates