f you pick a card from a regular deck of 52 cards, what is the probability of getting a club 3 times in a row? Assume that the club is put back in after each draw so that you are selecting from a full deck each time. (Enter your probability as a fraction.) Why do we multiply the fractions instead of add?

Q: 1 Probability calculations (a) A manufactured product consists of several different components that…

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

Q: Rework problem 5 from section 3.1 of your text, involving events E, F, and G in a sample space S.…

A: The given probabilities are PrE=0.55,PrF=0.65,PrG=0.6,PrE∩F=0.4,PrE∩G=0.35,PrF∩G=0.45.

Q: A regression was run to determine if there is a relationship between hours of study per week (�) and…

A: From the provided information, y = ax + b a = 6.254 and b = 33.41, r2 = 0.976144, r = 0.988 y = the…

Q: In a university class of 200 students, where 60% are females and 40% are males, what is the…

A: Answer:   We have a university class of 200 students, 60% female and 40% male. This means we have…

Q: Suppose that E and F are two events and that P(E and F) = 0.5 and P(E)=0.8. What is P(FIE)? P(FIE) =…

A: P(E and F)=0.5 P(E)=0.8

Q: 4. Consider a product market with a supply function Q = Po + B₁P; + us, a demand function Qd = = 70…

A: QUESTION:   one (a) The market equilibrium state states: Q_i^s = Q_i^d   Substituting supply and…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: A B C D Total Accurate 334 274 232 135 975 Not accurate 36 57 34 16 143 Total 370 331 266…

Q: Bayes' Theorem - detecting a virus from test results. help_outline   (a) Assume one person out of…

A:

Q: If Mrs. Hiatt chooses two students, what is the probability that Emily will not be one of them?

A: Mrs. Hiatt puts the names of all 15 of her second period students on popsicle sticks and places them…

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The individual actually had the disease   Yes No Positive 122 33 Negative 8 137

Q: has the following grade scale 15% HW 60% Exams 25% Final You receive the following scores on the…

A: A syllabus has the following grade scale 15% HW 60% Exams 25% Final You receive the following scores…

Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find…

A: The total number of pairs of observations is n = 6.

Q: A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further,…

A: The probability of a college student drinking alcohol is 0.6. The probability of drinking alcohol…

Q: (c) A coffee machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: (C) Answer:- Given, Mean, µ = 200  Standard deviation, σ = 15  Let X be a random variable represents…

Q: The time (in minutes) between arrivals of customers to a post office is to be modelled by the…

A: exponential distributionμ = 0.46 minute = 27.6 secondsλ = 127.6 per secondformula to use : P(x>X)…

Q: (a) Find px₁,...,xk (X1, X2, · · ·‚ Xk). (b) Find px;(x;) for any 1 ≤ i ≤ k.

A: Thus, we found out the joint distribution of X1,X2,X3,.....,XK

Q: a bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball…

A: Solution-: Number of red balls=6 Number of green balls=4 Number of blue balls=3 We want to find…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this cas…

A: sample size(n)=137 probability of eligible voters voted(p)=0.22 Let "x" be the no. of eligible…

Q: (a) A random variable has px(x) = x/15 for x = 1, 2, 3, 4, 5 and 0 otherwise. Find the mean and…

A:

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: Answer:- Given, Discrete probability distribution table is,  x P(x) 3 0.22 4 ? 5 0.31 6…

Q: A survey was conducted that asked 1005 people how many books they had read in the past year. Results…

A: Mean =14.4 standard deviation =16.6 sample size =1005

Q: The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500…

A: To determine the number of cylinders with diameters less than or equal to 50.0 mm, we need to…

Q: In a certain year, 23.4% of all light vehicles were light trucks, 7.0% were SUVS, and 69.6% were…

A: Let D be the event that the crash was deadly. A be the event that the driver was in light trucks. B…

Q: A discrete time Markov chain {Xt, t = 0, 1, 2,..} with state space S= {1, 2, 3, 4, 5, 6, 7} has…

A:

Q: b) (i) The probability distribution of the number of customers visiting a specialty store each…

A: At first we know for a valid density/distribution  function we have  ∑nP(N=n)=1   and then  For a…

Q: Intermediate algebra, statistics, and liberal arts math are not needed by STEM majors.  Calculate…

A: here given ,  The following is the enrollment at a university by major. Intermediate Algebra 5%…

Q: A Coin jar Contains and 8 nickels two quarters are from the jor. 10 quarters, 5 dimes Find the…

A: A jar contains  No. of quarters = 10 No. of dimes = 5 No. of nickels= 8 Total no. of coins = 23

Q: a bag with marbles, 3 blue marbles, 2 red marbles, and 5 green marbles. Three marbles are drawn in…

A: It is given that,  A Marbles contain  3 blue marble  2 red marbles 5 green marbles Thus, total no.…

Q: Do people cheat or lie when the cheating or lying is not easy to identify (such as filing of taxes)?…

A: It is required to find the expected proportional distribution of the outcomes of the first roll of…

Q: (1) There is an equal number of red and blue marbles (H0), or (2) 60% of the marbles are blue (HA)…

A: To solve this problem, we can use the concept of conditional probability and apply it to each…

Q: Show on two seperate Venn diagrams : P(A U B^d) = 0.9 P(AU B) = 0.6

A:

Q: ENGAGEMENT: The following are real-life examples of random variables. Classify them as discrete or…

A: There are mainly 2 types of random variable - Discrete random variable - the variable x which can…

Q: Question 2: For the following data. ΧΥ 2-1 3 3 6 7 78 98 2 3 5 6 11 11 12 14 14 16 33 11 13 (a)…

A: First, we draw the Scatterplot for the given data as follows:

Q: Let X = the outcome when a fair die is rolled once. Suppose that, before the die is rolled, you are…

A: To determine which option to prefer, we need to compare the expected values of each option. The…

Q: Problem #8: A system consists of five components is connected in series as shown below. 3 5 As soon…

A: (a) The probability that the system lasts at least 43 weeks is the probability that all five…

Q: Find P(-1.18 < z < 1.18).

A: From the provided information, P (-1.18 &lt; z &lt; 1.18)

Q: Let {Z(t),t≥0}  be a birth and death process on {0, 1, 2,3} with respective birth and death…

A: To find the steady-state probabilities P0, P1, P2, and P3, we need to solve the balance equations…

Q: D. What is the mean of the probability distribution E. What is the standard deviation of the…

A: We have to find d...Mean of the probability distribution e... Standard Deviation of distribution

Q: There are 15 mobile phones in a package box, 9 of which are iphones. If a person takes 5 phones from…

A: no.of iPhone =9 Total mobile phones=15

Q: I'm understanding the formula n/(n-r)r but not sure how it ended up as 5×4×3×2 over 2×3. So far all…

A: Calculate the factorial of 5! = the number of ways to arrange all 5 letters. 5! = 5 × 4 × 3 × 2 × 1…

Q: ITG STA 422 C.A.T MAY2023 (page 5 x X ← C SOMAS 12 (12) WhatsApp ✰…

A:

Q: Find the theoretical probability of: When selecting 3 cards from a regular deck without…

A: Here given that 3 cards are drawn without replacement from standard deck of cards . Total 52 cards…

Q: Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1)=20%,…

A: The probability that cars have been assembled in a particular plant is as follows:P(plant1)=20%,…

Q: Q34 The number of hits on a certain website follows a Poisson distribution with a mean rate of 8…

A: Let us denote X=the number of hits on a certain website Given that X follows Poisson distribution…

Q: Research Study: The following data collected lists the typing speed as measured by a standard typing…

A: Number of pages typed Typing speed 37 73 36 44 42 56 24 72 16 50

Q: Give only typing answer with explanation and conclusion The melting points of two alloys are being…

A: alloy 1 : x¯1  = 517s1 = 2.4n1 = 35alloy 2 :x¯2  = 515.1s2 =2.1n2 = 47α = 0.01claim : μ1 ≠ μ2α =…

Q: 3. a) b) The mean IQ of 200 patients in a psychiatric hospital is 91, with a variance of 16, and the…

A: Mean=91 Variance=16 Standard deviations=4

Q: Let X denote a random variable distributed as an exponential with parameter 2, λ> 0. That is, it's…

A:

Q: 2.) Grade Distribution. Mr. Doole's grade distribution over the past three years for a course in…

A: From the given table ,   n(A)=43 n(B)=182 n(C)=260 n(D)=90 n(F)=62 n(I) =8 Total =…