Let U = a deck of cards and R = all the red cards and F = all the face cards, %3D then the queen of clubs is in (Face card are : King, Queen, Jack) RUF True False

Q: A survey was given asking whether people like dogs and/or cats. 180 said they like dogs 162 said…

A: From the provided information, Number of people who like dogs n(D) = 180 Number of people who like…

Q: let A= {1,2}, B={2,4,6}, R: A? =B, then find R

A: By use of simple Relation Methodology

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the

A: Given, Players has same chanece of winning. So, p = 0.5 If player wins 3 times out of 5 games is…

Q: If the probability P(A and (B or C)) = P( A)* P(B or C) then A is independent of (B and C) O A is…

A:

Q: In a class of 30 students, 19 play tennis, 3 play both tennis and volleyball, and 6 do not play…

A:

Q: P(AOB), P(B), P(A).

A: We know that P(A | B) is defined as P(A | B) = P(A and B)/P(B) And P(A' and B) = P(B) - P(A and B)…

Q: The American roulette wheel consists of 38 equal sections occupied by the numbers 1 through 36, plus…

A: Probability of an event gives the chances of occurrence of the event. The probability of an event is…

Q: 1. What facts can we determine from the Venn Daigram? a. How many students only have an c. How many…

A: With the help of Venn diagram we can answer all the questions-

Q: You are given:

A: Formulas: pxt+qx=1t px=t+upx*px+tut qt|ux=qt+ux-qtx   Consider, the given equations,…

Q: Show that the multiplication law P(AB) = P(A/B) P(B), established for two events, may be generalized…

A: For two events A and B we have to show that PA∩B=PA/BPB. From the concept of conditional probability…

Q: se were randomly selected t

A: Sample Mean 1 (X1​)(\bar X_1) = 6.96.9 Population Standard Deviation 1(\sigma_1)(σ1​) =…

Q: Let A = {0,2,4,6},B={1,2,3,4,5},and C ={1,3,5,7}find B \cup C

A: It is given that, A = {0,2,4,6}, B={1,2,3,4,5},and C ={1,3,5,7}.Note that, “the union of two sets A…

Q: Suppose P(B) =0.7, P(D) = 0.4, and P(BND) = 0.3. Find the probabilities below. a. P (D°) b. P(B°) c.…

A:

Q: The customer satisfaction ratings shown below were received from four resto bars named A, B, C, and…

A: Considering a set of ratings were given for the resto bar, the average rating for each option (i.e.,…

Q: 4. A and B are independent

A: Value is  =0 .32

Q: Suppose that a team of campaign volunteers surveyed 150 likely voters to gauge support of a school…

A: Consider, P(support|children)=P(support and children)P(children)…

Q: am = n + p , f

A: am=n+pTo solve for a

Q: In a board game, a player rolls a 6-sided dice with the numbers 1 to 6 on it, and spins a spinner…

A: Solution: From the given information, a player rolls a 6-sided dice with numbers 1 to 6 and spins a…

Q: pooled is the symbol for:

A: here use basic of notation of some statistics

Q: a) all are queens? b) Two are face cards? c) There is at least one ace?

A: HERE given ,   The tens, jacks, queens, kings and aces are removed from a standard deck of cards.…

Q: che among group degrees of freedom is

A: Number of neighborhoods, k = 4

Q: d. Two females are selected. e. No males are selected.

A:

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A:

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

Q: Each student in Liberal Arts at some college has a mathematics requirement A and a science…

A: Each student in liberal arts at some collage has a mathematics requirement B.A poll of 140 sophomore…

Q: he number o ors of A will

A:

Q: e salaries of librarians ghboring cities were e aple of 21 librarians fro was randomly selecte

A:

Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find A n C. ||

A: Given, A = {0,2,4,6} B = {1,2,3,4,5} C = {1,3,5,7}

Q: c) How many different poker hands are "Three of kind?

A:

Q: (2n)! Let a,= then a) a, b) a, c) a, d) a,

A:

Q: A survey of 50 students showed that 25 were taking psychology, 20 were taking math, and 8 were…

A:

Q: Show that if A and Ą are two events, then P(A) + P(A₂) −1≤ P(Ą_Ą).

A:

Q: Let A = { a, b }, B = {a, b, c}. Is A ⊂ B ? What is A ∪ B ?

A: Given set is

Q: The average value of 7, 8, 3, 4, 10, 14, 11, 28, and 9 is 9. O True O False

A:

Q: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

Q: A. A pair of dice is rolled. If X is the sum of pairs of numbers. 1. What is the P(x) which is…

A: Given: A pair of dice is rolled. Let X is the sum of pairs of numbers.

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

Q: Show that the multiplication law P(A B) = P(A/B) P(B), established for two events, be generalized to…

A: GivenLet A and B be any two events. The conditional probability of occurrence of A given that event…

Q: All freshmen in the survey- (a) How many of the freshmen like exactly one of the three types of…

A: Given :

Q: A survey of 145 college students was done to find out what elective courses they were taking. Let…

A: Number of students belong to at least one elective:For any three sets, say A, B, and C, number of…

Q: If A={a,b,c} then how many elements does P(A) have?

A:

Q: Determine what rule of replacement was used: ((~ O v P) V ~ Q) · (~ O V (Pv ~ Q)) .: (~ O v (PV ~…

A: The rules are as below

Q: A bag contains 5 gold marbles, 7 and 23 black marbles. The rules c as follows: You randomly select o

A:

Q: Let ? represent the difference between the number of heads and the number of tails when a coin is…

A: Given: A coin is tossed 44 times. n=44p=0.5 Consider X represents the difference between the number…

Q: In a survey of college students, it was found that 72 owned a tablet 99 owned a laptop 87 owned a…

A: Let, T=student owned a tabletL=student owned  a laptopG=student owned a gaming…

Q: Show that the multiplication law P(A B) = P(A/B) P(B), established for two events, may be…

A: Given data: The given expression to prove is P(A∩B∩C)=P(A/B∩C) P(B/C)P(C). The given expression for…

Q: Find P (Sophomore | Girl) Hint: Classroom of Students Boys Girls Freshman 4 4 8 7 12 3 5 4 5…

A: Given:

Q: A radio station surveyed 110 students to determine the sports they liked. They found 45 liked…

A:

Q: Show that the multiplication law P(AnB) P(A/B) P(B), established for two events, may be generalized…

A: We know that, from the conditional probability- P (A⋂B) = P (A/B) P(B) Let, B and C be a single set.…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.