Solve the problem. Round to four decimal places.If x is a binomial random variable, compute p(x) for n = 5, x = 1, p = 0.3.

A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the [r] notes in her vocal range. How many different sequences of [n] notes are possible (notes are allowed to repeat).

Solve the problem.A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds.

A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the [r] notes in her vocal range. How many different sequences of [n] notes are possible (notes are allowed to repeat).

According to a published study, [p]% of men has been involved in a minor traffic accident. Suppose we have randomly and independently sampled [n]00 and asked each whether he has been involved in a minor traffic accident. How many of the sampled men do we expect to have been involved in a minor traffic accident?

According to a published study, [p]% of men has been involved in a minor traffic accident. Suppose we have randomly and independently sampled [n]00 and asked each whether he has been involved in a minor traffic accident. How many of the sampled men do we expect to have been involved in a minor traffic accident?

Solve the problem.A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic) and their year in college (freshman, sophomore, junior, or senior). The results are shown in the table below.Given that you know the selected student is in the senior class, find the probability they drive a domestic automobile.

Provide an appropriate response.Decide if the events A and B are mutually exclusive or not mutually exclusive, A die is rolled.A: The result is a 3.B: The result is an odd number.

Solve the problem.The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1000 miles. What warranty should the company use if they want 96% of the tires to outlast the warranty?

Solve the problem.A bag of candy was opened and the number of pieces was counted. The results are shown in the table below: Find the probability that a randomly chosen piece of candy is not blue.