The amount of time required for a mechanic to replace a clutch is normally distributed with mean 90 minutes and standard deviation of 15 minutes. A car is taken to the mechanic to have its clutch replaced. (a) Find the probability that the car will be ready in two hours. (b) Find the probability that the car will not be ready after 80 minutes. (c) Find the probability that the car is ready in between 85 to 95 minutes.

A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n =  . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who  the occupation of firefighter has very great prestige, so f =  (0.6096 answer is incorrect.) .

A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.

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.

Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a)  If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b)  If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c)  If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb

The scores in a large Algebra class are normally distributed with a mean of 65 and a standard deviation of 11. If a random sample of 25 students is selected, find the probability that the sample mean will be between 63 and 70.

The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1537lbs and 1679lbs Round your answer to four decimal places.

Determine the standard deviation of the random variable, B(600,0.4).

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the standard deviation of the waiting time is 2 minutes. Find the probability that a person will wait for more than 7 minutes. Round your answer to four decimal places