A continuous random variable X has a normal distribution with mean 50.5. The probability that X takes a value greater than 54 is 0.21. Use this information and the symmetry of the density function to find the probability that X takes a value less than 47. Enter your answer as a number

The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.

Sixty-three percent of U.S. households have a personal computer. In a random sample of 400 households, what is the probability that at least 240 of them has a personal computer. (remember to use the normal approximation) In the space below, please show all work for your answer.

Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ less than 125. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 125 is. (Type an integer or decimal rounded to four decimal places as needed.) Enter vour answer in the answer box. 33283, xlsx Exit Honorlock 22 MacBook Air 吕0 F2 F4 F5 F10 %23 2$ % & * 3 5 7 8 E Y U D F J K C V B M %S4

Assume that thermometer readings (in degrees Celsius) are normally distributed with a mean of 0 and standard deviation of 1. A thermometer is randomly selected and tested. Find the probability of a reading between -1.12 and 1.05 degrees Celsius. Draw a bell curve, label your mean and shade the area that you are trying to find. Then answer the question. (round to 4 decimal places) If a gambler places a bet on the number 7 in roulette, he or she has a 1/38 probability of winning. a. Find the mean and standard deviation for the number of wins of gamblers who bet on the number 7 one hundred and twenty times. b. Would 0 wins in one hundred and twenty bets be an unusually low number of wins? IL Proctorio is sharing your screen. Stop sharing Hide OCT 13 étv MacBook Air R K B 36