I roll a fair die. Let X be the observed number. Find the conditional PMF of X given that we know the observed number was less than 5. (Topic problility)

Q: 1.4-2. Let P(A) = 0.3 and P(B) = 0.6. (a) Find P(AUB) when A and B are independent. (b) Find P(AB)…

A: Given that  P(A)=0.3 P(B)=0.6 The addition rule of the probability for two events A and event B is…

Q: Use the tree diagram below to predict the probability of flipping 3 coins and getting all heads or…

A: On flipping a coin, probability of getting either a head or a tail = 12 So, Probability of getting…

Q: 2. A researcher tossed a 1000 times and used the number of Heads to conclude that Pr(Head) = 0.5.…

A: Given:  A researcher tossed a coin 1000 times and used the number of heads to conclude that…

Q: A quarter back completes 34% of his passes. We want to observe this quarterback during one game to…

A: We have given that a quarterback completes 34% of his passes.We have to find the probability that it…

Q: The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability…

A: The probability that a man develops cancer in his lifetime is .The probability that a man has at…

Q: Multiple-choice questions each have 4 possible answers, one of which is correct. Assume that you…

A: There are 3 multiple choice questions and each question has 4 possible answers among which only one…

Q: A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had…

A: total outcomes in sample space (n)= 100 n(P) = 72 n(q) = 52 which number is not possible for n(P∩q)

Q: 2.7-11. An airline always overbooks if possible. A partic- ular plane has 95 seats on a flight in…

A: Given: A plane has 95 seats on a flight in which a ticket sells for $300. The airline sells 100 such…

Q: Work this problem involving the selection of two numbers. Assume that you select two 2 digit numbers…

A: The process of selecting a number from the set of consecutive integers from 00 through 99 (total 100…

Q: State whether the events are dependent or independent. a. Getting an A in statistics.…

A: Independent events: Let A and B be two events. The events A and B are said to be independent if…

Q: Determine whether the action results in independent or dependent event. Roll a standard number cube.…

A: Solution

Q: 1. The probability that Thomas passes mathematics is 0.45; biology 0.6 and both 0.15. Determine the…

A: Probability is the chance of occurrence of an event.

Q: E be the event where the sum of two roll dice is greater than or equal to six. List the outcomes in…

A:

Q: In hypothesis testing if we have the alternate hypothesis that the mean is less than 5, it leads to…

A: It is given that the alternative hypothesis is that the mean is less than 5.

Q: A professor teaches French and has a class of 24 students. Part of his grading system includes an…

A: We have given a professor who teaches French and has a class of 24 students. Part of his system…

Q: claim the mean weight of beauty pageant winners is 106 pounds of 18 randomly selected beauty…

A: The claim is that the mean weight of beauty pageant winners is 106 pounds.

Q: 4. | Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0.4: (a) Can events A and B be…

A: In both questions P(A) and P(B) are given

Q: Adina sets up a taste test of 3 different waters: tap, bottled in glass, and bottled in plastic. She…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with…

A: Given,Event A occurs with probability 0.2. That is, P(A) = 0.2 Event B occurs with probability 0.3.…

Q: A company manufactures panes of glass. The probability that a pane of glass has bubbles is 0.01. If…

A:

Q: 1) When finding the probability of spinning a multiple of 3 or 5, find the value of n(A).  2) Find…

A: 1) The multiples of 3=3, 6, 9, 12, 15, 18The multiples of 5=5, 10, 15, 20So the multiples of 3 or…

Q: Since there are 36 total outcomes, and 2 of these outcomes are favorable to a sum of 3, we get the…

A: ###1- We know,  the formula for the probability of an event with equally likely outcomes is…

Q: 13. Compute P5.2² I

A: Formula:

Q: 1.1-6. If P(A)=0.5, P(B) = 0.6, and P(AB) = 0.4, find (a) P(AUB), (b) P(AB), and (c) P(A' U B').

A: given data  P(A) = 0.5 P(B) = 0.6 P(A∩B) = 0.4   (a) P(A∪B) = ?(b) P(A∩B') = ?(c) P(A'∪B') = ?

Q: response. The probability as a common fraction that the result of a single fair die toss is a 3 is…

A: When a single fair die is tossed, there are total 6 possible 1,2,3,4,5,6  so  probability of getting…

Q: 200 students took a test twice; 135 students passed the test on both. 35 students failed the test…

A: Given: 200 students appeared for a test twice and 135 students passed both the times while 35 failed…