In a large school, there are 60% students are athletes, 30% students in an honor program. 25% athlete students are in the honor program.
Let A = a randomly selected student is an athlete
B = a randomly selected student is in the honor program
Write the symbols of the following probabilities and find the value of the probabilities..
(a) The symbol for the probability a randomly selected athlete is in the honor program.
(b) The probability that a randomly selected student is an athlete and in the honor program.
(c) The probability that a randomly selected student is an athlete or is in the honor program.
(d) The probability that a randomly selected student is not an athlete.
In: Statistics and Probability
Construct the probability distribution for the value of a 2-card
hand dealt from a standard deck of 52 cards (all face cards have a
value of 10 and an ace has a value of 11).
1. what is the probability of being dealt 21?
2. what is the probability of being dealt 16?
3. construct a chart for the cumulative distribution function. what is the probability of being dealt a 16 or less? Between 12 and 16? between 17 and 20?
4. find the expected value and standard deviation of a 2-card hand.
In: Statistics and Probability
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of 40 items: a. 12% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
c) more than 12% or less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability
In: Statistics and Probability
Statistics for Criminology and Criminal Justice
The probability of being acquitted in criminal court in Baltimore, Maryland, is .40. You take a random sample of the past 10 criminal cases where the defendant had a public defender and find that there were seven acquittals and three convictions. What is the probability of observing seven or more acquittals out of 10 cases if the true probability of an acquittal is .40? By using an alpha of .05, test the null hypothesis (that the probability of an acquittal is .40 for defendants with public defenders), against the alternative hypothesis that it is greater than .40.
In: Statistics and Probability
4. [5 marks] Suppose that Best Buy sells 4 TVs per day on
average.
a) [1 marks] What is the probability that 8 TVs will be sold in a
day?
b) [2 marks] What is the probability that fewer than 3 TVs
(inclusive) will be sold in a day?
c) [2 marks] Suppose 5 customers enter Best Buy independently. The probability that a single customer will buy a TV is 0.1. What is the probability that at least one of these 5 customers buys a TV? Do not round your answer.
In: Statistics and Probability
A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with minimum of 80 and maximum of 120 cm. Find the 80th percentile of the length of the rods. Find the probability a rod is less than 101.4 cm long. Find the probability a rod is more than 102.5 cm long. Given that the rod is more than 101 cm, find the probability it is longer than 99 cm. Given that the rod is more than 101 cm, find the probability it is less than 103 cm.
In: Statistics and Probability
3. A mix beverage machine releases a certain amount of syrup into a chamber where it is mixed with carbonated water. The amount of syrup follows a normal distribution with a mean of 1.29 fl.oz. and a standard deviation 0.016 fl.oz. a. Find the probability that a syrup amount does not exceed 1.33 fl.oz.
b. Find the probability that a syrup amount is less than 1.29 fl.oz.
c. Find the probability that a syrup amount exceeds the mean value by more than two standard deviations.
d. Find the syrup amount so that the probability that it is exceeded is 5%.
In: Statistics and Probability
This is for an EXCEL formula.
Problem 23. Contrast the probability distribution for the value of the 2 card hand dealt form standard deck of 52 cards. (All Face cards have a value of 10 and the Ace has value of 11).
What is the probability of being dealt 21?
What is the probability of being dealt 16? Construct a chart for the cumulative distribution function.
What is the probability of being a 16 or less?
Between 12 and16?
Between 17 and 20?
Find the expected value and standard deviation of 2 card hand
In: Statistics and Probability
According to a recent report, 68% of Internet searches in a particular month used the Google search engine. Assume that a sample of 21 searches is studied. Round the answers to four decimal places.
(a) What is the probability that exactly 17 of them used Google?
(b) What is the probability that 12 or fewer used Google?
(c) What is the probability that more than 17 of them used Google?
(d) Would it be unusual if fewer than 9 used Google?
| It ▼(Choose one) be unusual if fewer than 9used Google since the probability is _. . |
In: Statistics and Probability
An instructor is interested in assessing students' typing speed
in the class. He knows that the average at the university is 49
word per minute (wpm) with a SD of 18 wpm. He collects
data from 31 of his students.
a) What is the probability of the average typing
speed being less than 49 wpm?
probability =
b) What is the proability of the average typing
speed being between 51 and 53 wpm?
probability =
Note: Do NOT input probability responses as
percentages; e.g., do NOT input 0.9194 as 91.94.
In: Statistics and Probability