Hi, can someone help me with these questions?

(1 point) The amount of time it takes for a student to complete a statistics exam is given by a random variable that is uniformly distributed between 34 and 71 minutes. A student is selected at random. Find the probability of the following events. In each case, give exact answers or round to at least three decimal places. a. The student's time was between 38 end 43 minutes ' b. The student's time was less than 38 minutes m c. The student's time was between 43 and 82 minutes ' d The student' 5 time was more then 49 minutes ' e. The student' 5 time was between 27 and 49 minutm ' (1 point) Q scores among recent college graduates have a mean of 105.7 and standard deviation of 13.7. a. A recent college graduate with an IQ score of 146 has a standardized score of (give an exact answer or round to at least two decimal places). b. A recent college graduate with an IQ score of 71 has a standardized score of (give an exact answer or round to at least two decimal places). C. A standardized IQ score of z = 1.36 corresponds to an actual IQ score of (round to the nearest whole number). d. A standardized IQ score of z = -2.25 corresponds to an actual IQ score of (round to the nearest whole number).(1 point) A large set of scores on the Math SAT in a certain year had an approximately Normal distribution with a mean at 493 and standard deviation at 86. (a) Fill in the blank: ES percent of scores were less than 359. (b) Fill in the blank: percent of scores were greater than 608: (c) Fill in the blank: ' percent of scores were between 359 and 608. In each case, give your answers in percentage form and round to at least two decimal p|aces. (1 point) In the Standard Normal distribution: (a) 15.15% of zscores are less than 1 = ' (b) 1.01% of zsoores are greater than z = i ' In each case, round your answers to at least two decimal places (1 point) Among smartphone owners 26-65 years of age, the average number of text messages sent per day follows an approximately Normal distribution with a mean of 87 and a standard deviation of 12. (a) What percent of smartphone owners 26-35 years of age sent an average of more than 72 text messages per day? i i % (b) Fill in the blank: Approximately 25 percent of smartphone owners 26-35 years of age sent an average of less than i ' text messages per day? (9) Fill in the blank: Approximately 15 percent of smartphone owners 26-35 years of age sent an average 01 more than ' text messages per day. (1 point) A large online retailer advertises that 95% of orders placed online will be delivered on-tirne. We assume this means that for any single randomly-selected online order, there is a 95% probability it will be delivered on-time. Use this information to answer the following questions (round each answer to at least three decimal places). a. 60 online orders are randomly selected (assume these are independent selections, made with replacement). What is the probability that all 60 of the selected orders are del'wered on-time? ' b. 100 online orders are randomly selected (assume these are independent selections, made with replacement). What is the probability that 95 or more of the selected orders are delivered on-time? ' c. 140 online orders are randomly selected (assume these are independent selections, made with replacement). What is the probability that 95% or more (133 or more) of the selected orders are delivered on-time? d. One of this retailer's distribution centers ships 800 orders on a particular day. 760 of which are delivered ontime. A set of 60 orders from this distribution center on this day are selected (without replacement). What is the probability that 95% or more (57 or more) of the selected orders are delivered on-time? ' a: (1 point) Number of Vehicles 0 1 2 3 4 Probability 0.25 0.042 0.375 0.25 777 At a nearby intersection with a traffic light, the number of vehicles waiting each time the light turns green is a discrete random variable with the probabilitity distribution shown above. Compute the following probabilities: a. P(x = 4): i i b. P(x 5 3): l c. P(x 1)