American Highway Safety Administration show that on an average weekend night, 1 out of every 8 drivers on the road is drunk. If 448 drivers are randomly checked next Saturday night, what is the probability that the number of drunk drivers will be (a) less than 42? (b) more than 70? (c) at least 30 but less than 50?

Q: What is the probability the falsk contains at least one mosquito larvae

A: In previous solution : Expected= 3  λ=3 P(at least 1) = P(x≥1) Formula : P(X=x) = (e-λ × λx)/x! *…

Q: A committee of 4 is being formed randomly from the employees at a school: 4 administrators, 30…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: A recent survey indicates that 62% of students who registered in an Economics course have purchased…

A: From the provided information, 62% of students who registered in an Economics course have purchased…

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

A: Solution

Q: What is the probability of drawing a red or blue marble out of a bowl with 10 red, 6 blue, 9 green?

A: Given that,no.of red marbles=10no.of blue marbles=6no.of green marbles=9Total no.of marbles=25

Q: 4) If a baseball player has a batting average of 0.5, what is the probability that the player will…

A: Given data: Batting average=0.5

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: What is the probability of getting at least 7 heads when 20 coins are tossed?

A: Given that, 20 coins are tossed.

Q: What is the probability of getting at least two heads when three coins are tossed

A: Given that, Three coins are tossed.

Q: What is the probability of obtaining pink or brown followed by green?

A: Given ,First spinner is having three different colours pink, blue, brown.Second spinner is having…

Q: What is the probability of drawing a five or a spade from a standard deck of 52 cards? O 13

A:

Q: What is the probability that when a coin is tossed 5 times it lands 3 times heads?

A:

Q: What is the probability of randomly selecting a 3-children family with two girls?

A: We will first list all possible outcomes in the sample space, then we will use following definition…

Q: What is the probability of four hearts in a row from a standard deck when the drawn card is returned…

A: We have to find the probability of four hearts in a row from a standard deck when the drawn card is…

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

A: From the provided information,It is believed that 9% of voters are Independent that is p = 0.09n =…

Q: What is the probability that if 13 letters are typed, no letters are repeated?

A: There are 26 letters in the English alphabet.  We can pick 13 letters without repetition in 26P13…

Q: What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a…

A:

Q: Jack has 10 chips numbered 1-10, what is the probability that he selects an even number or less than…

A:

Q: What is the probability that out of 12 students on a swim team, they will line up from youngest to…

A:

Q: What is the probability of obtaining blue followed by green or purple?

A: Given ,First spinner is having three different colours pink, blue, brown.Second spinner is having…

Q: What is the probability that you can draw a red marble from a box containing 7 white, 4 red, and 5…

A: Solution: From the given information, a box contains 7 white, 4 red and 5 blue marbles. Total number…

Q: t is the probability of drawing two red cards from a standard deck of 52 playing cards without…

A:

Q: Out of 176 students surveyed at a sporting event, half were males and athletes. 120 students…

A:

Q: What is the probability of getting at least one 6 on three rolls of a die?

A: It is an important part of statistics. It is widely used.

Q: What is the probability of picking three spade face cards or two red cards?

A: Here we have to find probability of picking three spade face cards or two red cards

Q: Suppose one card is drawn randomly from a standard deck of 52 cards. What is the…

A: Answer: From the given data, Total number of cards in a standard deck = 52 number of ace in a deck =…

Q: A company gets 5 letters of complaint (in average) per day. What is the probability of having 4…

A: Given :-   A company gets 5 letters of complaint (in average) per day , so λ=5  probability of…

Q: g a sum that is not a seven nor an 11 with a pair of dice?

A: Given that two dice are rolled,Let 'S' be the sample space S = { (1, 1), (1, 2), (1, 3), (1, 4),…

Q: Naval intelligence reports that 8 enemy vessels in a fleet of 20 are carrying nuclear weapons. If 5…

A: The total number of vessels, N=20The number of vessels carrying nuclear weapons, K=8The number of…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: what is the probability of getting 0 defective calculators

A: Number of defective calculators = 13Number of non defective calculators = 39Total number of…

Q: 9. A beginning archer is able to hit the bull's-eye 39% of the time. If she shoots 6 arrows, what is…

A: From given  p=0.39 n=6 this is a event of  binomial distribution since either the archer hits the…

Q: What is the probability that if 15 letters are typed, no letters are repeated?

A: From the provided information, 15 letters are typed. Total letters in alphabet = 26

Q: If an unprepared student guess for 10 true-false questions, what is the probability they will get…

A:

Q: What is the probability of drawing either an ace or a heart in a single draw from a deck of 52…

A: The number cards in a standard deck of cards is 52.

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

A:

Q: A student is taking a true/false exam with 18 questions. If he guesses on each question, what is the…

A: Given Information 18 true/false question Probability of correct answering p = 0.5 N = 18 Let X be…

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.