The probability distribution below is for the random variable X the number of credits taken by a randomly selected first-year student at a large state university. Credits 14 15 16 17 Probability 0.05 0.65 0.20 0.10 Show that the probability distribution of X is valid.

Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...

K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119

Let X be the number of applicants who apply for a senior level position at a large multinational corporation. The probability distribution of the random variable X is given in the following table. The outcomes (number of applicants) are mutually exclusive. Complete the table by calculating the cumulative probability distribution of X. Probability distribution Cumulative probability distribution The probability that there will be at least two applicants is The probability that there will be three or four applicants is 0 0.45 Outcome (Number of applicants) 1 3 0.30 2 0.15 0.08 and the probability that there will be at most three applicants is 4 0.02

Pavn

Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,-2,3,5, and 6.

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?

Determine the required value of the missing probability to make the distribution a discrete probability distribution. Р(x) 3 0.24 4 ? 0.22 0.26 P(4) = (Type an integer or a decimal.)

Quesiton 45

independent activity 2: study and analyze the number off patients seen in the emergency room in any given hour is a random variable represented by x. the probability distribution for x is: