For a normally distributed random variable x with u = 100 and o = 16, use technology to find each probability. P(92 < x < 108) O4.48% 68% 38.29% O 28.87%

High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?

For each probability and percentile problem, draw the picture.A random number generator picks a number from 1 to 8 in a uniform manner.   Part (e) ? =        rounded to two decimal places)   Part (f) P(3.5 < X < 7.25) =       (Enter an exact number as an integer, fraction, or decimal.)     Part (g) P(X > 3.67) =  (rounded to two decimal places)

Suppose 12% of people prefer the look of LCD screens to MicroLED screens. If 2 people are randomly selected (assume independence), determine the probability that the first person or second person prefers LCD screens, i.e. find P(L1 or L2) A. 0.226 B. 0.088 C. 0.122 D. 0.156 E. 0.240

Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC

Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 4, 5, and 6. Value x of X P(X = x) %3D 1 0.10 2. 0.20 4 6. 0.28

A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of cavities filled in the last three years for a randomly chosen patient. The dentist found that the random variable, X, had the probability distribution shown in the table. Number of Cavities Probability 0 0.35 0 0.15 O 1.49 1.73 2.98 2 0.30 0.15 3 0.15 4 0.05 Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are filled independently of one another, what is the standard deviation of D?