In other words: x 1-2-3 is 6 1-2-4 is 7 1-2-5 is 8 2-3-4…

In other words: x 1-2-3 is 6 1-2-4 is 7 1-2-5 is 8 2-3-4 is 9 2-3-5 is 10 2-4-5 is 11 # of students 31 7 41 4 2 35 a. Find/present the probability distribution for x. Use 4 decimal digits. b. Find the probability that the grill display combination is 2-3-4 (or 9) or more. Use 4 decimal digits. c. Find the probability that the grill display combination is not more than 1- 2- 4 (or 7). Use 4 decimal digits.

1. List the characteristics of the binomial random variable…

1. List the characteristics of the binomial random variable or binomial distribution.  2. 31% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason the student uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is a. exactly 4. Use 4 decimal digits.  b. more than 4, not equal 4. Use 4 decimal digits.  c. between 2 and 5 inclusive. Use 4 decimal digits.  d. Find the mean, standard deviation and variance of this distribution. Use 4 decimal digits. 

The lengths of lumber a machine cuts are normally distribute…

The lengths of lumber a machine cuts are normally distributed with a mean of 102 inches and a standard deviation of 0.6 inch. a. What is the probability that a randomly selected board cut by the machine has a length greater than 102.22 inches? Use 4 decimal digits. b. A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 102.22 inches? Use 4 decimal digits.

  The mathematics faculty at a college consists of 11 profes…

  The mathematics faculty at a college consists of 11 professors, 6 associate professors, 11 assistant professors, and 8 instructors. NOTE: Present all answers as simplified fractions, not decimal numbers.  a. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.  b. Now assume we select 2 faculty members with replacement. What is the probability that we choose 2 associate professors?

Suppose that the lifetimes of light bulbs are approximately…

Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours.  a. What proportion of light bulbs will last more than 60 hours? Use 4 decimal digits.  b. What proportions of light bulbs will last 53 hours or less? Use 4 decimal digits.  c. What proportions of light bulbs will last between 59 and 62 hours? Use 4 decimal digits.