I need help with this one please thank you! Questions 5 through 10: An automobile club comes to the aid of stranded motorists who aremembers. Over the long run, 5% of the members utilize this service in any 12-month period. Asmall town has 400 members of the club. Consider the 400 members to be representative of thelarger club membership. Let the sample proportion be those who will utilize the service in a 12-month period. The towing service in town contracts with the club and comes to the aid of 28members in the 12-month period.5. What is the mean of the sampling distribution of one sample proportion?H₁ = P =(use 2 decimal places)6. What is the standard deviation of the sampling distribution of one sample proportion?p(1-P)nO.==7. What is the sample proportion?8. lower value=p(μ-30) (μ-20) (μ(use 3 decimal places)Use the Empirical Rule to find the values for Questions 8 and 9.In about 95% of all randomly selected samples of n = 400 club members, the proportion ofmembers that will utilize the service in the coming 12-month period will be between (use 3decimal places)σ)X9.upper value:You can label the distribution if you desire but there are no points to labeling.(use 2 decimal places)I(μ) (µ + σ) (µ + 20) (µ + 30)10. Is the sample proportion (from Question 7) a likely or unlikely value given the samplingdistribution?a. Yes; It is a likely value for the sample proportion since it falls at/within μ₁±20b. No; It is an unlikely value for the sample proportion since it falls outside μ ±20% INSTRUCTIONS: Determine your answers to the questions below before opening the link tosubmit on Blackboard. You may print out the assignment or use an electronic copy, but pleasekeep a written record of your answers. You must submit your answers on Blackboard(Homework Assignments - Unit 2 HAS →→ HA08 One Categorical Variable & One Sample Part1) for credit by the time and date listed above. You have two (2) 20-minute timed attempts.Questions 1 through 4: Suppose the probability is p = 0.25 that a person who purchases aninstant lottery ticket wins money, and this probability holds for every ticket purchased. Considerdifferent random samples of n = 64 purchased tickets. Let p= sample proportion of winningtickets in a sample of 64 tickets.1. What is the mean of the sampling distribution of one sample proportion?H₂ =P =(use 2 decimal places)2. What is the standard deviation of the sampling distribution of one sample proportion?p(1-P)%pn=(use 3 decimal places)Use the Empirical Rule to find the values for Questions 3 and 4.In about 95% of all randomly selected samples of n 64 instant lottery tickets, the proportion oftickets that will be money winners will be between (use 3 decimal places)3. lower value =upper value =You can label the distribution if you desire but there are no points to labeling.(μ-30) (μ-20) (μ- σ)4.(μ)+ r)J) (μ+20) (µ + 30)

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As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…