An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 156 lb and a standard deviation of 29.4 lb.a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 201 lb.???

A highway engineer who is studying the number of accidents at a busy intersec- tion has determined that accidents occur at the rate of 2.5 per month. a. Find the probability that none occurs in a given month. b. Find the probability that more than one occur in a given month. c. Find the population mean, the population variance, and the population stan- dard deviation for the number of accidents in a given month.

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 68.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected.  a. Find the probability that a study participant has a height that is between 68 and 72 inches.

As part of a study, 800 college football players are randomly chosen and their weights taken. The distribution of the weights is approximately normal. The average weight is 235 pounds and the standard deviation is 25 pounds. Approximately how many players had weights between 260 pounds and 285 pounds? Select one: a. 432 b. 108 C. none of these d. 216 400 e.

The state Government gives grants to low-income undergraduate students. According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant award for 2007-2008 was $2,600. We wonder if the mean amount is different this year for Pell grant recipients at San Jose State University. Suppose that we randomly select 50 Pell grant recipients from San Jose State University. For these 50 students, the mean Pell grant award is $2,450 with a standard deviation of $600. Let µ = the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year. We test the hypotheses: H0: μ = 2,600 , Ha: μ ≠ 2,600. The sample size is greater than 30, so a t-model is a good fit for the sampling distribution. What is the t-test statistic? What is the P-value?

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 395 grams and a standard deviation of 22 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) Highest 30 percent a. b. Middle 70 percent to c. Highest 90 percent d. Lowest 20 percent

The average salary for teachers is $50,000 with a std. deviation of $5,000. Find probability of randomly selecting a teacher that makes: between $35,000 and $45,000| b more than $45,000 per year a 0.167, 0.881 0.147 , 0.811 0.157, 0.841 0.137, 0.861

The salaries of 1200 pro athletes form a normal distribution with a mean of $79,000 and a standard deviation of $30,000. A "superstar" is defined as anybody in the top 2% of the salary distribution. What is the minimum salary of a superstar? Select one: a. $85,150 b. $140,500 c. $209,000 O d. $109,000

In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

A ski lift states a maximum capacity is 12 people or 2004lb. A worst-case scenario would be 12 adult male passengers since they tend to be heavier verse women and children. Assume adult male weights are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb.  A. If 12 men weighed exactly 2004 lb, what would be the average weight? B. Find the probability that a single man will have a weight greater than your result from A.  C. Find the probability that a single man will have a weight greater than your result from A.  Does the ski lift appear to have the correct weight limit from these results?