An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 135 lb and a standard deviation of 34.4 lb. a. If a pilot is randomly​ selected, find the probability that his weight is between 130 lb and 181 lb.   The probability is approximately 0.46950.4695. ​(Round to four decimal places as​ needed.) b. If 40 different pilots are randomly​ selected, find the probability that their mean weight is between 130 lb and 181 lb.   The probability is approximately 5.43915.4391. ​(Round to four decimal places as​ needed.)

A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3811 grams and a standard deviation of 442 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be between 3590 and 4429 grams. Round your answer to four decimal places.

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is greater than 295.

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be greater than 240 lbs? Round your answer to three decimal places, eg 0.192.

The average production cost for major movies is 67 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 45 randomly selected major movies are researched. Answer the following questions.  Give your answers in millions of dollars, not dollars.  Round all answers to 4 decimal places where possible. For the group of 45 movies, find the probability that the average production cost is between 63 and 65 million dollars.

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.964 grams and a standard deviation of 0.296 grams. Find the probability of randomly selecting a cigarette with 0.668 grams of nicotine or less. Round your answer to four decimals.

Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 126. OA. 0.0062 B. 0.8615 C. 0.9938 OD. 0.8819

The average production cost for major movies is 63 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the following questions.  Give your answers in millions of dollars, not dollars.  Round all answers to 4 decimal places where possible 1. For the group of 35 movies, find the probability that the average production cost is between 61 and 66 million dollars