A uniform distribution has parameters a = 4 and β = 9. Find the probability of randomly choosing a value more than 1.2 standard deviations from the mean. Round your answer to 4 decimal places.

pr The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not premature. /2 pr Click to view page 1 of the table. Click to view page 2 of the table. /2 a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) pr b. Babies who are born on or before 12 days are considered premature. (Round to the nearest integer as needed.) /2 12 uc /2 12 or /2 or (2 Enter your answer in each of the answer boxes.

The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places

Trucks in a delivery fleet travel a mean of 100100 miles per day with a standard deviation of 3535 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 148148 miles in a day. Round your answer to four decimal places.

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 that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)

The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.

Susan jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog times is approximately normal with a standard deviation of σ = 10 minutes. For a randomly selected day, what is the probability that Susan’s jog to the park will take less than 16 minutes?​ Select one: a. 0.2743 b. 0.8957 c. 0.3236 d. 0.7554

A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 206.8 cm and a standard deviation of 0.5 cm. Find the probability that the length of a randomly selected steel rod is greater than 208.4 cm. P(x > 208.4 cm) = P(z > Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2. -1.5

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.