If X is the number of 7’s obtained when rolling a pairof dice three times, find the probability that Y = X2 willexceed 2.

Q: Suppose that the number of bacteria in a pond of water has an average rate of 24 bacteria per 8…

A: Given that, there are 24 bacteria per 8 mm3  This means per 1 mm3 , there are 24/8=3 bacterias.…

Q: Thirty percent of students in a college are Freshmen. In a random sample of 15 students form the…

A:

Q: If a baseball player's batting average is 0.320 (32%), find the probability that the p will get at…

A: The conditions for normal approximation to the binomial distribution are given below:   np≥5…

Q: Consider the case where five 6-sided dice are rolled sequentially (one after the other). What is…

A: Possible outcomes in a die-rolling experiment is 1,2,3,4,5,6. The outcomes are equally likely. That…

Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

A:

Q: The price of a computer required in a student lab of our university is not fixed. With the…

A: We have the following information: One computer costs(Euro)  probabilities 500 0.2 550 0.6…

Q: he probability of Inspector #1 on a production line finding a defective item is 0.8 and of Inspector…

A:

Q: Find the probability that one large bottle selected at random will contain more than the combined…

A: Given :                            For small bottles Mean(μ)=338,standard deviation σ=3…

Q: If two dice are tossed, find the probability that the sum is greater than 5.

A: No. of possible cases when two dice are tossed =6×6 =36

Q: The probability that a glove will not crack in a smasso test is 0.70. What is the probability that…

A: The probability that a glove will not crack in a smasso test is 0.70. What is the probability that…

Q: 7 Of

A: Probability rule varies depending whether an event is mutually exclusive or non mutually exclusive.

Q: A bag of 100 candies has the distribution of colors shown in the table above. Yasim will randomly…

A: Total candies = 23+14+16+20+13+14=100 No of brown candy = 14 no of orange candy = 20

Q: A fair die is rolled three times. What is the probability of obtaining at least 2 6's?

A: We know that when we toss a fair coin then the probability that getting any number is 1/6.Total…

Q: The average number of diesel tankers arriving each day at a certain port city is known to be 5. What…

A:

Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

A:

Q: A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What…

A: Given: Probability of heads (1 - p) = 0.50 Probability of success or tails (p) = 1 - 0.50…

Q: Find the probability that the SUM is as stated when a pair of dice is rolled. a)  8 or 10   b)…

A: Total number of sample is a) A={(2,6),(6,2), (3,5),(5,3), (4,4),(4,6), (6,4),(5, 5)}

Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby girl when…

A: The probability of having a boy=1/2 The probability of having a girl=1/2 P(couple having a baby girl…

Q: Find the probability of getting a sum of 6 on two dice if the first die is already shows a 3.

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

Q: If two dice are rolled, find the probability that neither die shows a 3 on it.

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

Q: A 1-10 spinner is spun twice. What is the probability of spinning a number léss than 4 both times?

A: The numbers less than 4 are 1, 2, 3. So we can get a number less than 4 in 3 ways.We can get both…

Q: It is a well-established fact that 40% of people are scared of squirrels. If we take a SRS of 50…

A:

Q: The probability of a can of paint containing contaminațion is 4.23%. The probability of a mixing…

A: We have given that  Probability of containing contamination is A= 4.23% The probability of a mixing…

Q: It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find…

A: Given that, n = 60 , p = 0.48 The mean and Standard deviation of the sampling distribution of…

Q: Find the probability of boys and girls in families with three children, assuming equal probabilities…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: It is known that the probability of 1 person suffering side effects from a certain drug is 0.005. If…

A: We can solve this problem using poisson distribution.

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

A:

Q: suppose that 90% of students take math, 20% of students take chemistry and 15% take both. select a…

A:

Q: In rolling the dice two times, the probability that the sum of the two appearing numbers is greater…

A: when we roll a dice twice the total possible outcomes is 36 which is given by (1,1),…

Q: The probability that, the total of two dice will be greater than 9, given that the first die is a 5,…

A:

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: an observer counts 36O vehicles per hour at a highway. estimate the probability of having more than…

A: A observer count 360 vehicle per hour at a highway.

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9​, given that the…

A:

Q: An archer is able to hit the bull's-eye 44% of the time. If she shoots 7 arrows, what is the…

A: Given: Number of shots (n) = 7 Probability of success (hitting the bull's eye) = p = 0.44 Let X be…

Q: Find the probability that one of the dice shows 6 dots given that the sum of the dots is 8?

A: Introduction: The set of all possible outcomes of a probability experiment is called sample space of…

Q: n applicant is selected at random, what is the probability that he/she passes the academic…

A: Given:     Work Experience standards      yes  No  Total Academic Achievement Standards  yes…

Q: If two balanced dice are rolled whats the probability that the sum of the two numbers will appear…

A: Given that : Two balanced die are rolled.  We know that a die contains ( 1,2,3,4,5,6) Total outcome…

Q: Find the probability that when a couple has four children, at least one of them is a boy. ​(Assume…

A: From the given information n = 4. In this case, the probability of couple getting a boy or girl is…

Q: Find the probability of getting a total of 4 atleast once in 3 tosses of a pair of Jair dice?

A:

Q: The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on…

A: Independent Events:Two events are said to be independent if occurrence of one event does not affect…

Q: Find the probability that when a couple has two children, at least one of them is a boyboy. ​(Assume…

A: Consider,B be the event shows that couple has baby boy.G be the event that shows the couple has baby…

Q: Suppose that on five consecutive days an "instant winner" lottery ticket is purchased and the…

A: Define the Random Variable, X : Number of days purchased a winning ticket in 5 days X ~…

Q: Find the probability of getting not greater than 3 in a single throw of a die.

A:

Q: It was found that the probability of a parent with two children either has two boys or two girls is…

A: Given P (Two girls) = P (Two boys) = 0.5002 P (any geneder) = 0.5

Q: Suppose it has been determined that the probability is 0.8 that a rat injected with cancerous cells…

A: Suppose it has been determined that the probability that a rat injected with cancerous cells will…

Q: The flight from Greenville to Charlotte can take anywhere from 43 minutes to 68 minutes.  Suppose…

A:

Q: A pair of standard dice is rolled. Find the probability that the sum of the two dice is less than 2.

A: Use sum of two dice according to given conditions.

Q: An archer is able to hit the bull's-eye 57% of the time. If she shoots 6 arrows, what is the…

A: Given that ,                  n=6                  p=0.57                  q=1-0.57=0.43Let X be…

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.