Discuss the below:
Q1. Linda owns a small business. Use the probability distribution below, where X represents the number of employees who call in sick on a given day.
|
Number of Employees Sick
|
0
|
1
|
2
|
3
|
4
|
|
P(X = x)
|
0.05
|
0.45
|
|
0.15
|
0.1
|
a. P(X = 2) is
b. The expected value (Mean) of the number of employees calling in sick on any given day is c.The standard deviation for the random variable X is
Q2. According to the Information Please Almanac, 6% of the human population is blood type O-negative. A simple random sample of size 4 is obtained, and the number of people X with blood type O-negative is recorded.
a. The probability that exactly 3 out of 4 have blood type O-negative is
b. The expected value (Mean) is
c. The standard deviation is
Q3. The number of chocolate chips in an 18-ounce bag of Chips Ahoy! Chocolate chip cookies are approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.
a. The probability that a randomly selected 18-ounce bag of Chips Ahoy! Cookies contains between 1000 and 1400 chocolate chips is
b.The probability that a randomly selected 18-ounce bag of Chips Ahoy! Cookies contains fewer than 1000 chocolate chips is
c. The proportion that 18-ounce bags of Chip Ahoy! Cookies contain more than 1400 chocolate chips is
d. How many chocolate chips does an 18-ounce bag of Chips Ahoy! Chocolate chip cookies need to place in the top 3% of the distribution?
e. What is the percentile rank of an 18-ounce bag of Chip Ahoy! Cookies that contains 1475 chocolate chips?