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Question Answered step-by-step Thanks for your help! Thanks for your help! Image transcription textSuppose x has a distribution with a mean of 40 and a standard deviation of 15. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a normal distribution. O x has a binomial distribution. O x has a geometric distribution. O x has an unknown distribution. O x has an approximately normal distribution. O x has a Poisson distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) He = (b) Find the z value corresponding to x = 45. (Enter an exact number.) Z = (c) Find P(x < 45). (Enter a number. Round your answer to four decimal places.) P( x < 45) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 45? Explain. O No, it would not be unusual because less than 5% of all such samples have means less than 45. Yes, it would be unusual because more than 5% of all such samples have means less than 45. Yes, it would be unusual because less than 5% of all such samples havemeans less than 45. O No, it would not be unusual because more than 5% of all such samples have means less than 45.... Show more Math Statistics and Probability MATH 120 Share QuestionEmailCopy link Comments (0)