In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 60% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)   (a) at least 35 of the victims knew their murderers (b) at most 48 of the victims knew their murderers (c) fewer than 30 victims did not know their murderers (d) more than 20 victims did not know their murderers

It has been observed that the number of traffic accidents on the L.I. expressway requiring medical assistance is a Poisson Distribution with the mean equal to 4 in one day.  Find the probability that the number of such accidents is at most 6 in one day.  Round answers to 4 places.

62% of adults in a population have an HDTV in their home. You randomly select 45 adults and ask them if they have an HDTV in their home. What is the probability that at most 20 of them respond yes? Use binomial distribution and normal distribution approximation. Compare your results.

If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 62% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)   (a) at least 35 of the victims knew their murderers(b) at most 48 of the victims knew their murderers(c) fewer than 30 victims did not know their murderers(d) more than 20 victims did not know their murderers

A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below

The probability distribution itself is assumed to be a beta distribution. True or false?

Suppose that you take a sample of size 40 from a population that is normally distributed. Can the sampling distribution of x̄ be approximated by a normal probability distribution? What if the population was not normally distributed, can the sampling distribution of x̄ be approximated by a normal probability distribution?