The average income tax refund for the 2009 tax year was $3142. Assume the refund per person follows the normal probability distribution with a standard deviation of $926. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2100? (Round to four decimal places as needed.) b. What is the probability that a randomly selected tax return refund will be between $1400 and $3000? (Round to four decimal places as needed.) c. What is the probability that a randomly selected tax return refund will be between $3200 and $4200? (Round to four decimal places as needed.) d. What refund amount represents the 35th percentile of tax returns? $ (Round to the nearest dollar as needed.)

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 19 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 139 miles in a day. Round your answer to four decimal places

The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with theaverage amount of time equal to eight minutes. Write the distribution, state the probability density function, and graphthe distribution.

Please answer A, B, & C.

Solve A,B, and C

A survey asked recently retired people how many different employers they had during their working lives. The table below is a probability distribution table representing the data collected. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean and the standard deviation to two decimal places. P(x) 0.0852 0.0853 3 0.0850 4 0.0843 0.0835 0.0832 7 0.0827 8 0.0822 9. 0.0825 10 0.0821 11 0.0820 12 0.0820 Provide your answer below: mean standard deviation =|

Please answer B, C, & D.

Billiard tables have mean degree of balance 0 and standard deviation 1 What is the probability that the degree is at lease 1.5.

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $105. Round answers to 4 decimal places, use technology. 685 790 895 1000 1105 Distribution of Prices What is the probability that a buyer paid between $1000 and $1105? 1210 1315 What is the probability that a buyer paid between $685 and $1000? What is the probability that a buyer paid between $790 and $1000?

Consider the probability that no less than 94 out of 149 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 61%. Approximate the probability using the normal distribution. Round your answer to four decimal places.