12 16 20 24 p(x) 1/8 1/6 3/8 1/4 1/12

Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following: a. P(Z < 13) b. P(Z > 9) c. P(6 < X < 14)

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 147 lb and a standard deviation of 28.7 lb. Click here to view page 1 of the standard normal distribution Click here to view page 2 of the standard normal distribution. COS a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 38 different pilots are randy selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots is more important. OB. Part (a) because the seat performance for a single pilot is more important. OC.…

C. Find the mean, variance, and standard deviation of the following discret uniform distribution and Bernoulli distribution:

Much of a yearly basketball tournament takes place during the workweek. According to a survey, 40% of employed adults who plan to watch at least one tournament game say that they have watched the yearly basketball tournament at the office. A random sample of 50 employed adults who plan to watch at least one tournament game was selected. Use the normal approximation to the binomial distribution to answer parts a through e. a. Calculate the mean and standard deviation for this distribution. The mean is 20. (Round to four decimal places as needed.) The standard deviation is 3.4641. (Round to four decimal places as needed.) b. What is the probability that more than 20 adults from this sample will watch the tournament at work? The probability is 0.4426. (Round to four decimal places as needed.) c. What is the probability that exactly 16 adults from this sample will watch the tournament at work? The probability is (Round to four decimal places as needed.) View an example Get more help - 1 √…

The amount of time travellers at an airport spend with customs officers has a mean of  μ =32 seconds and a standard deviation of  σ =11 seconds. For a random sample of 50 travellers, what is the probability that their mean time spent with customs officers will be: Standard Normal Distribution Table a. Over 30 seconds?   Round to four decimal places if necessary b. Under 35 seconds?   Round to four decimal places if necessary c. Under 30 seconds or over 35 seconds?   Round to four decimal places if necessary

The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. For the following questions: 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.

The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1290 and a standard deviation of 101. The probability that the sales on a given day at this store are more than $1.405. rounded to three decimal places, is:

A sample of 17 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.13 ounces. The population standard deviation is known to be 0.1 ounce.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Find the following. (Round your answers to two decimal places.) (i)     x =  (ii)     ? =  (iii)     sx =    Which distribution should you use for this problem? (Round your answers to three decimal places.) X ~             ,

Prove that for the normal distribution, the quartile deviation, the mean deviation and standard deviation are approximately 10 : 12 : 15.