Statistics and Probability Answers

Research has shown that 55% of new Small Medium Enterprises (SMEs) are started by graduates while 45% are started by non-graduates. It is also known that 70% of SMEs started by graduates are successful i.e they suvived beyond 3 years, while only 10% of those started by non-graduates are successful.

a. What is the probability that a new SME is successfull

b. What is the probability that a new SME is successful and it was not started by a graduate

c. If it is know that a new SME is successful, what is the probability that it was not started by a graduatre

When three coins are tossed,the probability distribution for the random variable x representing the number of heads that occurs is given below compute the variance and standard deviation of the probability distribution

A problem in a test given to small children asks them to match each of three pictures

of animals to the word identifying that animal. If a child assigns the three words at

random to the three pictures, find the probability distribution for Y , the number of

correct. matches

Research has shown that 55% of new Small Medium Enterprises (SMEs) are started by graduates while 45% are started by non-graduates. It is also known that 70% of SMEs started by graduates are successful i.e. they survive beyond 3 years, while only 10% of those started by non-graduates are successful. Required: a) What is the probability that a new SME is successful? b) What is the probability that a new SME is successful and it was not started by a graduate? c) If it is known that a new SME is successful, what is the probability that it was not started by a graduate?

A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)

e. Determine the mean, variance and standard deviation of the sample mean.

1. A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)

e. Determine the mean, variance and standard deviation of the sample mean.

2. The scores of individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, solve for the following: (with illustration)

a. determine the mean and standard deviation of the sampling distribution of the sample mean.

1. A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)

e. Determine the mean, variance and standard deviation of the sample mean.

2. The scores of individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, solve for the following: (with illustration)

a. determine the mean and standard deviation of the sampling distribution of the sample mean.

According to Nielsen Media Research, the (population) average number of hours of TV viewing per household per week in the United States is 50.4 hours. Suppose the (population) standard deviation is known to be 11.8 hours. A random sample of 42 U.S. households is taken. What is the probability that the sample average is less thank 47.5 hours