A box contains 20 books. The probability a book defective is 0.09. What is the probability that i) at most 2 books are defective? ii) between 13 and 17 books are not defective?

Q: A card is drawn from a deck of 52. What is thr probability the card is a Jack?

A: In a deck of 52 cards .

Q: Assume that 8 people, including the husband and wife pair, apply for 4 sales positions. People are…

A:

Q: What is the probability that a card drawn from a standard deck has an odd number on it or is red?…

A: From the provided information, Total cards in a standard deck = 52 Total red cards = 26 Total odd…

Q: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes.…

A: Given that n =15 , P =0.45 Using binomial distribution Find P ( x <3 ) =?

Q: What is the probability that a 6 is ohtained on one of the dice in a throw of tWO dice, given that…

A:

Q: What is the probability 106 randomly selected people have an average body temperature is greater…

A: Sample Size = 106 Mean = ∑xi*Frequency∑Frequency  , where xi is the temp value The standard…

Q: The probability that randomly selected adult male in the U.S. has nevermarried is 0.340. a. What is…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 44​% use them in meetings or…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or…

A:

Q: It is believed that 20% of music teachers in New York own a car. 16 music teachers from New York are…

A:

Q: What is the probability that 1000 tosses of a fair coin will produce between 475 and 525 “Heads”? (A…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A:

Q: view and answer:  What is the probability that the 15th ball extracted

A: There are two type of variables : Continuous variables and discrete variables. Continuous variables…

Q: What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

A: Let us suppose that, A & B are the two events then following is the formulae for Bayes' Theorem…

Q: A wallet contains 750 bills, of which 175 contain Php 100 in cash, 225 contain Php 50, and 350…

A:

Q: What is the probability of positive integers less than or equal 120 that divisible by either 4 or 9?

A: Number of positive integers less than or equal to 120 that are divisible by 4 or 9, means that are…

Q: What is the probability of obtaining exactly three tails in four flips of a coin, given that at…

A:

Q: There are 15 mobile phones in a package box, 9 of which are iphones. If atperson takes 5 phones from…

A:

Q: According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in…

A: Given that According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are…

Q: Let a symmetrical coin be tosded 5 times, what is the probability that there are more heads than…

A:

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Given,n=6p=0.54q=1-p=1-0.54=0.46X=No.of adults use their smartphones in meetingsor…

Q: There are 8 black bals and 6 red balis in an urn, If4 bals are drawn without replacement, what is…

A: Here Ball is not replaced after drawing  so We have to Use hypergeometric Model for this Scene  Here…

Q: There are 10 000 laptops in a warehouse, out of which 10 are defective. Two laptops are selected at…

A: We have given that  Total number of laptops 10000 , out of which 10 defective. Two laptops are…

Q: Among 13 participants in a television game show only 3 have been women. What is the probability of…

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Q: One bag contains 4 white balls and 3 black balls, and a second bag contain 3 white balls and 5 black…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: Given data Probability that adult with smartphones will use them in meetings  = 0.47 Number of…

Q: What is the probability that Z is less than 1.53 or greater than 1.84​?

A: Required probability is P(Z<1.53 or Z>1.84)

Q: In Electrical Eng. Dept., there are 1000 students, out of which 430 girls It is known that out of…

A:

Q: A coin is loaded so that the probability of a head occurring on a single toss is 3/4. In five tosses…

A: The provided information are:

Q: A fair coin is flipped 16 times. What is the probability that exactly 8 heads​ appear?

A: Given,n=16p=P(getting a head)=12 X=getting no.of headsP(X=x)=cxn px(1-p)n-x ; x=0,1,2,3.....n

Q: Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or…

A:

Q: What is the probability that a hand of 6 cards contains 6 cards of 6 different ranks?

A: Let A be the event that a hand of 6 cards contains 6 cards of 6 different ranks Here, the total…

Q: A die is rolled 8 times. Given that there were 3 sixes in the 8 rolls, what is the probability that…

A: Here  A die is rolled 8 times,  probability that obtaining six at any dice is, p=1/6 Given that…

Q: In tossing 5 coins, what is the probability of obtaining 3 tails?

A: Given : Tossing 5 coins Assuming a fair coin tossed

Q: Assume that 6 women and 8 men work in a department at a Targe company, a committee of 5 people from…

A: We have to find the probability based on combination

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: Obtain the probability that the exactly 8 boys in ten births. The probability that exactly 8 boys in…

Q: what is the probability to win buying one ticket at the lottery with 6 out of 56 balls and how many…

A:

Q: In Electrical Eng. Dept., there are 1000 students, out of which 430 girls. It is known that out of…

A:

Q: What is the probability of getting exactly four 2s in casting a die 7 times?

A:

Q: Suppose that n balls are put into n numbered boxes. Assume each possible outcome is equally likely.…

A: a) The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!.…

Q: 2. A coin is flipped 8 times: • What is the probability it landed heads 5 times? What is the…

A:

Q: In a family with 4 children, excluding multiple births, what is the probability of having exactly 2…

A: Given: n = 4 x = 2 p = 0.5 q = 0.5 Formula Used: Binomial distribution: If a random variable X…

Q: What is the probability of obtaining at least one head when a coin is flipped six times?

A: Here a coin is tossing 6 times, number of output for tossing a coin is 2( head or tail). If we are…

Q: What is the probability of obtaining at least one tail when a coin is flipped six times? (Enter the…

A: We have to use Binomial distribution. Binomial distribution : If X follows Binomial distribution…

Q: Assume that you randomly select 8 cards from a deck of 52. What is the probability that all of…

A: Total cards in a standard deck = 52 Total diamonds cards = 13

Q: What is the probability that Z is less than −1.58 or greater than 1.84​?   The probability that Z is…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A: Given Data: Let X be the number of adults using smartphones  n=7 p=0.59   Therefore,  X ~…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: Given that  n=10 , p=1/2=0.5 , q=1-p=1-0.5=0.5 X~Binomial(n=10,p=0.5) p= probability of boy birth…

Q: Assume that 2 cards are drawn without a replacemnt from a standard 52 card deck. What is the…

A: Given that 2 cards are drawn without a replacement from a standard 52 card deck.  Total number of…

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.