An unfair coin, with P(heads) = 5/9, is flipped 5 times. What is the probability more tails than heads occur?

Q: Given that an egg is large, what is the probability (between 0 and 1) that it was laid by a sumatra…

A: Let us define some events A : an egg is laid by chantecler variety  B : an egg is laid by sumatra…

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: In a dental study on children it was found that the probability of the child population having any…

A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3

Q: Carson has a 30% chance of beating his brother in a race. If they raise 10 times, what is the…

A: (n C r) prqn-r

Q: What is the probability that a randomly selected balloon animal is green given that the balloon…

A: Since , the table given below ,    Giraffe Dog Total Purple 15 15 30 Green 5 12 17 Total 20…

Q: If the odds of winning on a scratch-off lottery ticket are 8:1,103, what is the probability of…

A: Let A be the event of getting winning on a scratch-off lottery ticket Odd against ratio=8:1103

Q: After rolling a 6 sided dice 40 times, what is the probability of obtaining an average that is less…

A: Define the Random Variables, Xi : Outcome in the ith die i = 1,2,3,....,40 PMF of Xi , P(Xi=xi) =…

Q: 3. The defect rate for a laptop is 4%. Assuming the defects occur independently, what is the…

A:

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: The leading brand of powdered milk in the Philippines has a market share of 45%. A sample of 14…

A: X: the leading brand of powdered milk in the philippinesX~Binomial(n,p)where n=14…

Q: (a) What is the probability that 3 of the faculty have blood type O-negative? (Round your answer to…

A:

Q: For the experiment of rolling an ordinary pair of​ dice, what is the probability that the sum will…

A: When two dice are rolled then the sample space is   n(S)=36

Q: About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability…

A: Given: About 8% of the U.S. population catches the flu each season.

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: In the experiment of rolling two dice, what is the probability that the sum is not less than 8?

A:

Q: Find the empirical probability of flipping a coin 10 times

A: We need to find the emperical probability of flipping a coin 10 times Emperical probability is…

Q: In the experiment of rolling a die, what is the probability of obtaining an even number given that…

A:

Q: In a recent study, 65% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: Given,n=11p=0.65Let X =no.of people name their favorite flavor of ice cream.X~Binomial(n=11 ,…

Q: What is a theoretical probability of getting two heads when tossing two fair coins? 

A: Here we need to find the theoretical probability.

Q: On a True/False quiz, what is the probability of guessing 5 out of 10 questions correctly? This is…

A:

Q: A balanced, six-sided die is rolled 3 times. What is the probability a 5 comes up exactly twice? *

A: Given A six sided die is rolled 3 times.

Q: A dice is rolled 3 times. What is the probability of showing a 4 on every roll?

A: Solution: Suppose a dice is rolled 3 times. Then, the total number of possible outcomes is…

Q: Migraine medication was administered to patients in that 2% experienced weight gain as a side…

A:

Q: At Denver international airport, 81% of recent flights have arrived on time. A sample of 12 flights…

A:

Q: What is the probability of hitting a target, if in the long run, 71 out of every 464 attempts…

A: Probability:The probability of an event A is obtained  by the formula:

Q: At a store, the average number of customers entering is 10 persons per half an hour. What is the…

A: Solution: Let X be the number of persons enter within 10 minutes. From the given information,…

Q: A die is rolled six times.  What is the probability of obtaining two 5's?

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: if the probability that a bowler will bowl a strike is 0.7, what is the probability that he will get…

A: Binomial distribution: A binomial distribution is used to calculated the probability of a success or…

Q: a fair coin is tossed three times. what is the probability of obtaining at least two tails?

A: Let S be the number of outcomes when the coin tossed three times and A be the possibilities to get…

Q: If a person is selected at random from this group, what is the probability that he/she d) Is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A nylon connector manufacturing plant yields 15 % defective items. If 1000 connectors are randomly…

A: Here, n = 1000, p = 0.15.

Q: A 6-sided die is rolled twice. What is the probability of showing a 5 on both rolls? Your answer is…

A:

Q: rolled three

A:

Q: A fair coin is tossed six times. What is the probability of obtaining at least five ​tails?

A: From the given information, the number of times tossing a coin is 6. The probability of getting a…

Q: What is the probability of getting white?

A: Given: The square box containing 12 small squares. Number of white squares =7 Number of yellow…

Q: You toss a biased coin with a probability p of heads, while your friend tosses at the same time a…

A: Let us define the event A as both coins simultaneously show the same outcome. That is either both…

Q: If you play, what is the probability that: You get at least one skull ?

A: here given, there are total 3 wheel  each wheel stop on single symbol, here outcome on each wheel…

Q: If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that…

A:

Q: Assume that the coin is weighted so that a tail is 3 times as likely as a head. The coin is flipped…

A: Let us assume the probability of head=xSo the probability of tail=3xTotal probability is = 1So,…

Q: The chance that a U.S. police chief believes raising the cost of parking tickets "significantly…

A: We have given that  n=9 , p=1/4=0.25  , q=1-0.25=0.75 X~Binomial(n=9,p=0.25) Find P(X=5)

Q: A fair die is rolled five times. What is the probability of obtaining at least four 3​'s?

A:

Q: In an experiment consisting of three flips of a fair coin, what is the probability that the first…

A: As per given by the question, there are three coins are flipped. then find the probability that the…

Q: A fair coin is flipped 6 times. What is the probability that at least two heads are flipped?

A: Given:  A fair coin is flipped 6 times.

Q: An unbiased fair coin was tossed 15 times. What is the probability of getting exactly 8 heads?

A: We have given the following statement coin tossed 15 times.  We have to find probability of getting…

Q: Assume that the coin is weighted so that a head is 4 times as likely as a tail. The coin is flipped…

A: According to the given information,  Probability of occurring head is 4 times as likely as tail. Let…

Q: Assume that the coin is weighted so that a tail is 7 times as likely as a head. The coin is flipped…

A: Given Information: A coin is weighted so that a tail is 7 times as likely as a head.  The coin is…

Q: On a True/False quiz, what is the probability of guessing 5 out of 10 questions correctly?

A: It is given that n = 10.

Q: 1. In the experiment of tossing 3 coins, what is the probability of getting 3 heads?

A: As per our guidelines we are suppose to do one question only Given3 Coins tossed

Q: When two dice are rolled 36 times: Determine the empirical probability that a 9 comes up 6 times.

A:

Q: Of the last 6 trains to arrive at Westminster Station, 3 were on time. What is the experimental…

A: There are totally 6 trains to arrive at Westminster Station in which 3 were on time.

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.