Question

1. Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard deviation of $7,600. What is the probability that a randomly chosen customer earns less than $36,000? (Round your answer to three decimal places, eg 0.192.)

2. A continuous random variable X has a normal distribution with mean 12.25. The probability that X takes a value less than 13.00 is 0.82. Use this information and the symmetry of the density function to find the probability that X takes a value greater than 11.50. Enter your answer as a number rounded to two decimal points, e.g. 0.29.

3. Z is distributed as a standard normal variable. Use Excel to find Pr(Z < -0.86). Enter your answer as a decimal rounded to three decimal places, e.g. 0.268.

4. Given a sample with a mean of 0 and a standard deviation of 1, find Pr(2.47 < Z < 2.49). Enter your answer as a decimal rounded to four decimal places, e.g. 0.2912.

5.

Find the indicated probability for a binomial random variable X. Round your answer to three decimal places, e.g. 0.628.

P(X < 2) when the number of trials (n) is 3 and the probability of success (p) is 0.7.

6. Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them somewhere. How many different ways could your friends arrange themselves in the 4 available seats in your car, assuming only one person per seat? (Enter your answer as a whole number.)

Answer 1

According to the rules only one question will be answered