Assume that 38.2​% of people have sleepwalked. Assume that in a random sample of 1540 adults, 629 have sleepwalked. a. Assuming that the rate of 38.2​% is​ correct, find the probability that 629 or more of the 1540 adults have sleepwalked. b. Is that result of 629 or more significantly​ high? c. What does the result suggest about the rate of 38.2​%?

Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph.  c. If one of the cars is randomly chosen, find the probability that it is traveling between 78 and 81 mph.    d. 60% of all cars travel at least how fast on the freeway?  mph.

The probability is 0.35 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In nine traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is a. exactly​ three; at least​ three; at most three. b. between two and four​, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y.     a. The probability that exactly three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 The probability that at least three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your response here. ​(Round to four decimal places as​ needed.) Part 3 The probability that at most three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your…

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 974,425 radioactive​ atoms, so 25,575 atoms decayed during 365 days.   a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given​ day, 52 radioactive atoms decayed.