3. In a signalized intersection, the probability of a vehicle making a left turn per time period is 15%. if we analyzing 15 periods of time, what is the probability that in six periods the vehicles make left turns.?

Q: At one private college, 34% of students are business majors. Suppose that 260 students are randomly…

A: The probability that the proportion of business students in the sample differs from the population…

Q: This problem involves students who have taken Calculus in high school. Assume that 15 percent of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.Since the coins…

Q: What is the probability of choosing a number from 1 to 10 that is less than 5 or odd?

A: Solution

Q: Suppose the average number of zebra seen on a 2-day safari is 5. What is the probability that…

A: Given that the average number of zebra seen on a 2-day safari is 5. So, the average number of zebra…

Q: If two balanced dice are rolled, what is the probability that the sum of  two numbers that appear…

A:

Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: Based on historical data, your manager believes that 44% of the company's orders come from…

A: Obtain the probability that the sample proportion is between 0.22 and 0.33.   The probability that…

Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three…

A: Here given joint distribution table for x and y X = no of cars Y = no. Of buses

Q: A certain math conference has 8,778 attendees.  Of these individuals, 6,659 are college professors,…

A:

Q: If the average number of visitors to a bank is six people per minute, then the probability of two…

A:

Q: Based on historical data, your manager believes that 37% of the company's orders come from…

A:

Q: What is the probability of getting the first "three" in the 6' roll?

A: here given, balanced 6 sided die rolled , here use geometric distribution

Q: 2. A coin is being flipped 400 times. What is the probability of it landing on heads at most 170…

A: Given That: A coin is flipped 400 times.

Q: According to a study, 20% of corporate officers are women. Suppose that you select a random sample…

A:

Q: This problem involves students who have taken Calculus in high school. Assume that 25 percent of…

A:

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: It is known that 10% of adults can pass a fitness test. What is the probability at most 12 adults in…

A:

Q: If the estimated mean of crashes at intersection is 10, what is the probability of having 5, 10 and…

A: Given the estimated mean of crashes at an intersection is; μ=10 Let, X = The number of crashes next…

Q: Suppose you draw five cards (without replacement) from a standard deck of 52 playing cards. What…

A: The total cards in a standard deck = 52 Total ace = 4

Q: Suppose the rate of type II diabetes mellitus (DM) in 40-59 year olds is 7% among Caucasians, among…

A: the rate of type II diabetes mellitus (DM) in 40-59 year old's is 7% among Caucasians, 10%among…

Q: Suppose a baseball player's batting average is .325. What is the probability that in the next 100…

A: Given : Suppose a baseball player's batting average is .325. What is the probability that in the…

Q: 3. A manufacturer says the probability of their product being defective is 19%. If your company buys…

A: From the given information we find the solution.

Q: The proportion of male and female students in a class is found to be 1:2. What is the probability…

A:

Q: Suppose Nate loses 42% of all video games. What is the probability he will lose 3 games in a row but…

A: Given: P( Losing a video game ) = 0.42 P( Winning a video game ) = 1-0.42 = 0.58

Q: 20. Suppose that 21% of people own dogs. If you pick two people at random, what is the probability…

A: Given,The probability people own dogs is 0.21

Q: If the dice are rolled once , what is the probability of a number that is odd or divisible by 3 ?

A: Assuming the dice is fair, the number of outcomes will be 1, 2, 3, 4, 5, 6. Each outcome has an…

Q: If the probability of 5% movement within 1 week is 95%, what is the weekly movement range with the…

A: It is given that in 1 week, the probability of 5% movement is 95%. We have to calculate the movement…

Q: Suppose the probability of an IRs audit is 4.2 percent for U.S taxpayers who file form 1040 and who…

A:

Q: If a biased coin has a probability of heads that is twice the probability of tails and is flipped…

A: For a biased coin, Consider the probability of occurring tails = x The probability of heads is twice…

Q: What is the probability of getting 6 or more girls in 8 births

A:

Q: What is the probability of selecting a car that is blue or red when the car park is filled with 11…

A: Number of red cars = 11 Number of white cards = 12 Number of blue cars = 15 Total number of cars =…

Q: What is the probability of being dealt two kings in a row from a deck of cards without replacing the…

A:

Q: In a certain town it is known that 16% of families have no children, 34% have 1 child, 23% have 2…

A: There are 16% of families have no children, 34% have 1 child, 23% have 2 children, 17% have 3…

Q: his problem involves students who have taken Calculus in high school. Assume that 10 percent of…

A: Let define the events A = Students who have taken Calculus in high school A= Students who did not…

Q: 1. If probability of a single birth resulting in a boy is 0.321, then what is the probability of it…

A: P(boy) = 0.321 P(girl) = ?

Q: According to the Turkish Ministry of Health, the probability of a woman developing breast cancer…

A: Given: p=probability of developing cancer=1/5P(3 women out of 15 will develop breast cancer)=?

Q: According to a study, 20% of corporate officers are women. Suppose that you select a random sample…

A:

Q: 13. Suppose that a lot of 5000 electrical fuses contain 5% defectives. If a sample of five fuses is…

A: Given,n=5000p=0.05here A random variable X~Poisson(λ)because n is large and p value very smallso ,…

Q: . What is the probability of getting the first “three” in the 6th roll?  ii. How many times would…

A: here use geometric distribution

Q: Based on historical data, your manager believes that 26% of the company's orders come from…

A:

Q: Based on historical data, your manager believes that 31% of the company's orders come from…

A: The provided information are: Population proportion (p) = 0.31 Sample size (n) = 119 Consider, the…

Q: A fair dice is rolled four times.  What is the probability of obtaining a 3,2,3 and 3 in that order?

A: For any event A and the sample space S, the probability can be found as,

Q: Suppose you flip 1000 coins. What is the probability of getting exactly 600 heads and 400 tails?

A: Given: Number of trials (n) = 1000 P (Heads)  =P (Tails) = 0.5 Let X be the number of heads. As the…

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: P(A/B) is the probability of event A when event B has already occurred.

Q: What is the probability of getting 2 of number 6 in 2 dice

A: The number of dice is 2 with 6 numbers.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.