A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $48. A random sample of 144 checking accounts is selected. a. What is the probability that the sample mean will be more than $306.60? b. What is the probability that the sample mean will be less than $308? c. What is the probability that the sample mean will be between $302 and $308? d. What is the probability that the sample mean will be at least $296?
In: Statistics and Probability
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute. Compute the probability of no arrivals in a one-minute period (to 6 decimals). Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals). Compute the probability of no arrivals in a 15-second period (to 4 decimals). Compute the probability of at least one arrival in a 15-second period (to 4 decimals).
In: Statistics and Probability
The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, with a mean of $76,000 and a standard deviation of $20,000. A loan application is received this morning. What is the probability that: (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) a. The amount requested is $85,000 or more? Probability b. The amount requested is between $67,000 and $85,000? Probability c. The amount requested is $67,000 or more? Probability
In: Statistics and Probability
Bart's Bakery makes two kinds of pies: apple and blueberry. If you select a pie at random, the probability it is apple is 0.88. Bart's Bakery also makes two sizes of pies: large and small. The probability a randomly selected apple pie is large is 0.60. The probability a randomly selected blueberry pie is large is 0.75. Given that a randomly selected pie is small, what is the probability it is an apple pie?
Group of answer choices
0.9215
0.0785
0.1456
0.8544
In: Statistics and Probability
5. A bag contains 8 red orbs, 3 yellow orbs and 6 blue orbs. Five orbs are chosen at random, without replacement.
(a) What is the probability of choosing 3 red orbs and 2 yellow orbs?
(b) What is the probability of choosing 1 red orb, 2 yellow orbs and 2 blue orbs?
(c) What is the probability of choosing all blue orbs?
(d) What is the probability of choosing at least one blue orb?
In: Statistics and Probability
|
Gender |
Fan of “Game of Thrones” |
Not a Fan of “Game of Thrones” |
Totals |
|
Male |
5 |
9 |
14 |
|
Female |
8 |
21 |
29 |
|
Totals |
13 |
30 |
43 |
Using the chart above, answer the following:
In: Statistics and Probability
Assume that women's heights are normally distributed with a mean given by mu=64.4 in , and a standard deviation given by sigma=1.8 in . Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that her height is between 64.2 in and 65.2 in. The probability is approximately ? . (Round to four decimal places as needed.)
b. If 14 women are randomly selected, find the probability that they have a mean height between 64.2 in and 65.2 in. The probability is approximately ? . (Round to four decimal places as needed.)
In: Statistics and Probability
Giving a test to a group of students, the grades and gender are summarized below
| A | B | C | Total | |
| Male | 6 | 15 | 12 | 33 |
| Female | 9 | 14 | 2 | 25 |
| Total | 15 | 29 | 14 | 58 |
If one student is chosen at random,
In: Statistics and Probability
There are a total of 17 people in an application pool, that are equally qualified for a job. The pool consists of;
7 females and 10 males
There are 3 job openings for 3 different people. Type your
answers as a decimal to 4 decimal places.
1. What is the probability that all 3 people are
female?
2. What is the probability that not all 3 people are female?
3. What is the probability that none of the 3 people are female?
4. What is the probability that two are female and 1 are male?
In: Statistics and Probability
Your company inspects car tires before final shipment. tires are judged to be either defective, or non-defective. The probability of a tire being found defective is 6%
In: Statistics and Probability