There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 49% of the scratchers are winning ones. Suppose that we will take a random sample of 8 scratchers. Let p represent the proportion of winning scratchers from the sample. Consider the sampling distribution of the sample proportion p.Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed.(a)Find μp (the mean of the sampling distribution of the sample proportion).=μp (b)Find σp (the standard deviation of the sampling distribution of the sample proportion).=σp

For a large, top-rated corporation, 97% of employees said the corporation is a great place to work. Suppose that we will take a random sample of 7 employees. Let p represent the proportion of employees from the sample who said the corporation is a great place to work. Consider the sampling distribution of the sample proportion p.Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed.(a)Find μp (the mean of the sampling distribution of the sample proportion).=μp (b)Find σp (the standard deviation of the sampling distribution of the sample proportion).=σp

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 500 trials and got the following results.Outcome 0 1 2 3 4 5 6 7 8 9Number of Trials 57 59 46 46 50 47 38 52 55 50Fill in the table below. Round your answers to the nearest thousandth.(a) From these results, compute the experimental probability of getting a 5 or 8.(b) Assuming that the machine is fair, compute the theoretical probability of getting a 5 or 8.(c) Assuming that the machine is fair, choose the statement below that is true:With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of trials, there must be no difference between the experimental and theoretical probabilities.With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.

Suppose the population of all public Universities shows the annual parking fee per student is \$110 with a standard deviation of \$18. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a sample mean between \$100 and \$115 is?Select one:a.0.9738.b.0.4738.c.0.0262.d.0.6103.e.0.1103.

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution isQuestion 5Select one:a.16b.2c.4d.20

Approximately 40% of students enjoy basketball.In a class of 400 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.a.)Mean = 240Variance = 10Standard Deviation = 96b.)Mean = 160Variance = 10Standard Deviation = 96c.)Mean = 160Variance = 96Standard Deviation = 10d.)Mean = 240Variance = 96Standard Deviation = 10