Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.   Forty dash three   percent of adults say that they have cheated on a test or exam before. You randomly select eight   adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is​ (a) exactly four ​, ​(b) more than two ​, and​ (c) at most five . ​(a) Upper P left parenthesis 4 right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) ​(b) Upper P left parenthesis more than two right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) ​(c) Upper P left parenthesis at most five right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) Which of the events are​ unusual? Select all that apply.     A. The event Upper P left parenthesis 4 right parenthesis   is unusual.   B. The event Upper P left parenthesis more than two right parenthesis   is unusual.   C. The event Upper P left parenthesis at most five right parenthesis   is unusual.   D. None of the events are unusual.

Q: The switchboard in a Minneapolis law office gets an average of 2 incoming phone calls during the…

A: Let X = the number of calls received at noon.  Given, lamda=2 By poisson distribution…

Q: Consider 92 independent observations. The probability of event A in a particular experiment is 0.03.…

A: From given we have : Event A happens in a particular experiment is 0.03 P(A)=0.03   Therefore, the…

Q: Find the probability that exactly one head appears in two flips of a fair coin.   A. P(H) = 1/2…

A: If we tosses two coins the the total number of outcomes or sample space (S) is,  S = { HH, HT, TH,…

Q: Find the probability that at most one household is tuned to September Road. P(at most one) =

A: Let the R.V X denotes the number of households are turned to September road and it follows the…

Q: Hot Dogs Richard receives 5 delivery orders every 2 minutes. a. How many home orders are expected in…

A: Answer: Using the given data,

Q: For a fundraiser, 1000 raffle tickets are sold for $2 each with a chance to win $200 in cash. You…

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Q: A couple intends to have 7 children. Use the binomial probability formula to determine the…

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Q: The National Sleep Foundation reported that 36.8% of all adults snore. Of the people who snore 87%…

A:

Q: Determine the probability of the given complementary event. What is the probability that a 59%…

A: It is needed to find the probability of the complimentary event.

Q: Pick a card.  If you get an ace, you win $100. If you get a two or three or four, you win $80.…

A: We have given information, Let X=the amount that you win or lose on a card. if you get an ace, you…

Q: Construct a probability distribution for a family of three children. Let X represent the number of…

A: Given that there are 3 children.  X=the number of girls So the possible values of X are 0, 1, 2, 3

Q: Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the…

A: When two dice is thrown simultaneously, there are 36 outcomes .

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 yellow balls, 7 brown…

A: Given, Number of yellow balls=5 Number of brown balls=7 Number of black balls=5   Total balls=17

Q: From a standard deck of playing cards you are dealt 3 cards. If X is the number of diamonds that was…

A:

Q: The principle of redundancy is used when system reliability is improved through redundant or backup…

A: The alarm clock has daily failure rate = 15.3%  Hence the probability that the alarm clock will not…

Q: Find the indicated probability. P(A or B) =| (Simplify your answer. Type an integer or a decimal.)…

A:

Q: Provide an appropriate response. Assume that male and female births are equally likely and that the…

A:

Q: (i) Find the Probability that it is an Ace, Jack, Queen, or King. (ii) It is a Jack, Queen, or King.

A: HERE GIVEN , THERE are total 52 cards in deck here use basic probability  probability  = no of…

Q: Find the probability of the indicated event if P(E)=0.30 and P(F) = 0.40. Find P(E or F) if P(E and…

A: From the provided information, P (E) = 0.30 and P(F) = 0.40 And P (E and F) = 0.20

Q: Determine whether the scenario involves independent or dependent events. Then find the probability…

A: We are given that there are eight boys and five girls in a class. The teacher randomly selects three…

Q: Two unfair dice are thrown where odds are twice as likely to occur as evens. A. Find the probability…

A: here given , Two unfair dice are thrown where odds are twice as likely to occur as evens. so here…

Q: A coin is tossed 10 times. We get head 4 times and tail 6 times. Compute the probability for each…

A:

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: The average number of phone inquiries each day at the customer service is 40. Find the probability…

A:

Q: Find the indicated probability. Find the probability of exactly 9 girls in 10 births. Assume that…

A: Given that  Number of trials n=10 Success of probability p =0.5 X~binomial (n,p) Here we use…

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.