Suppose x has a distribution with u = 12 and o = 7. (a) If a random sample of size n = 45 is drawn, find u5, o7 and P(12 < x 14). (Round ox to two decimal places and the probability to four decimal places.) Hx = ox = P(12 < x< 14) = (b) If a random sample of size n = 60 is drawn, find y, ox and P(12 < x < 14). (Round o to two decimal places and the probability to four decimal places.) 阪 = ox = P(12 < x< 14) = |

Suppose x has a distribution with μ = 11 and σ = 3. If a random sample of size n = 62 is drawn, find μx, σ x and P(11 ≤ x ≤ 13). (Round σ x to two decimal places and the probability to four decimal places.)μx = σ x = P(11 ≤ x ≤ 13) =

Suppose that the contagious period of COVID-20 has an average of 7 days, and follows a chi-square distribution.  Let X measure the contagious period for a randomly selected specimen of the COVID-20 virus. State the distribution of the random variable X. Group of answer choices X∼χ2(6) X∼Student′st(7) X∼χ2(7) X∼Continuous(7)     A friend of yours has COVID-20 and the doctors have told her that she has had it for 10 days.  Compute the probability that they are still contagious.  (I.E. compute the probability that X is greater than or equal to 10 days.)

Suppose x has a distribution with u = 29 and o = 25. (a) If a random sample of size n = 43 is drawn, find u, o , and P(29 < x < 31). (Round o, to two decimal places and the probability to four decimal places.) 0こ= P(29 < x < 31) = (b) If a random sample of size n = 61 is drawn, find u, o y and P(29 < x < 31). (Round o , to two decimal places and the probability to four decimal places.) 長= 『ス= P(29 < x < 31) =

6. Let X1, X2, ...X100 denote a random sample of size 100 from an exponential distribution with mean 1. Let Y equal the sum of all the X's. Approximate the probability that Y is greater than 110. |

A sample of n = 20 observations is drawn from a normal population with u = 1100 and o = 180. Find each of the following: A. P(X > 1176) Probability = B. P(X 1063) Probability =