The following are properties of a set of random variables, EXCEPT: Select one: a. The sum of the associated probabilities is equal to 1. b. Can either be discrete or continuous. O c. Value must be between 0 and 1. d. The expected value can be calculated.
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Q: Suppose P(A) = .38 and that A and B are mutually exclusive: A) Find P(A|B) B) Flnd P(B|A) You roll 2…
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Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: O A B AB…
A: Given A=0.48 B=0.13 AB=0.01 O=0.38
Q: Let $X$ be a random variable with possible values $1,2,3,4$, and corresponding probabilities…
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Q: Let X be a geometric random variable p = 0.3. What is the probability that X is an odd number?
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A: Given P(high distortion)=0.01 P(moderate distortion)=0.04 P(low distortion)=0.95
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Q: a. Р(Z 2.6) : с. Р(- 2.6 < Z < 2.6): С.
A: Using the standard Normal table, P(Z < 2.6) = 0.9953
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Q: An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the…
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Q: Which of the following statements is false? O a. Probability of a particular value of a random…
A: a) Probability of a particular value of the random variable can be zero. Thus, a is true.
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A: Given, Total of trials=n = 3 Probability of success=p=0.25 Probability of failure=q = 1-0.25=0.75 x…
Q: Suppose X is a random variable with possible values -2,-4 and 2 and with respective probabilities…
A: Solution: From the given information, the probability distribution of X is
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Q: a) Find the P(A), P(B) and P(C), write the answers on the space provided. b) Find B' and P(B') c)…
A: Suppose , the sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ...E7 denote the sample…
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- Determine the following probabilities. a. For n=5 and x=0.14, what is P(X=0)? b. For n = 11 and =0.50, what is P(X= 10)? c. For n = 11 and x = 0.60, what is P(X= 9)? d. For n=4 and x=0.83, what is P(X= 3)? a. When n = 5 and x = 0.14, P(X=0)= (Round to four decimal places as needed.) www.A book store is open for 8 hours per day. On average, 5 customers visit the store each hour. The average amount each customer spends is $18. It costs the owner $780 per day to run the store. Calculate the probability that the store will be profitable in an average day. Use hours as the units for time, and enter the probabilities as dimensionless numbers, thus as values between 0 and 1.For a large number of random variables with identical expectation of 10, and also satisfy all the assumptions of the Law of Large Number, then the simple average of the random variables is: OA. A. 10 with probability close to 1. OB. close to 10 with probability close to 1. Oc. close to 0 with probability close to 1. O D. none of the above. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Ma esc 20 F3 O00 000 F4 F1 F2 $ % 1 5 ab Q W E R # 3
- Daily sales records for a car dealership show that it will sell 0, 1, 2, or 3 cars, with probabilities 0.3, 0.5, 0.15, 0.05 respectively let X be the number of sales in a 2-day period, assuming that the sales are independent from day to day. The probability that two or more sales are made in the next 2 days isIn the U.S., about 85% of people are Rh positive for blood type. You take a sample of size 7. Use R to calculate the following probabilities: a) Pr{Y = 2} b) Pr{Y = 5}Two thousand raffle tickets are sold for $3.00 each. Three prizes will be awarded. One for $1000, two for $500. Assume that the probability that any given ticket is selected for $1000 prize is 1/2000 and the probability that any given ticket selected for the $500 prizes is 2/2000. Tom purchases one of these tickets: a) determine his expected value.b) determine the fair price (FP) of a ticket.
- Is Lucas's first free throw shot independent of his second free throw shot? O The two free throws are dependent on each other. O The two free throws are independent of each other. O It is impossible to tell from the given information whether or not the two free throws independent of each other. What is the probability that Lucas makes both free throws?If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x < 7) for n = 15, p = 0.8 b. P(x ≥ 13) for n = 20, p = 0.3 c. P(x = 2) for n = 25, p = 0.5The accompanying data are from an article. Each of 309 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not. Male Female Hybrid 76 33 Not Hybrid 116 84 Suppose one of these 309 individuals is to be selected at random. Determine if the probabilities P(hybrid male) and P(male hybrid) are equal. If not, explain the difference between these two probabilities. O Yes, the probabilities are equal. No, the probabilities are not equal. The first is the probability that a hybrid Honda Civic owner is male, and the second is the probability that a male Honda Civic owner purchased a hybrid. O No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic owner is male.
- Determine which of these statements is correct/incorrect and explain the reason why. a. X is a discrete random variable. Therefore, P(9 < X < 11) = P(X=9) + P(X=10) + P(X=11) b. The probability of flipping two coins will result in one head and one tail is 1/2 c. K and L are mutually exclusive events. P(K)=0.3 and P(L)=0.4. Hence, P(K∩L) = 0.12 d. There are mass points that have a probability of zero. That is, if x is a mass point, then it's possible that P(X=x) = zero.Show that the expectation of the sum of two random variables defined over the same sample space is the sum of the expectations. Hint: Let p1, p2, ··· , pn be the probabilities associated with the n sample points; let x1, x2, ··· , xn, and y1, y2, ··· , yn, be the values of the random variables x and y for the n sample points. Write out E(x), E(y), and E(x + y)Consider the sample space {a,b,c,d,e} with probabilities, respectively, .1,.2,.3,.2,.2. Verify that this is a probability space. The random variable X is given by X(a)=1, X(b)=2, X(c)=3. X(d)=4 and X(e)=5. Compute the expected value and variance of X. Let X2 be two iterations of X, addeed, independently. Write down an appropriate probability space for this and compute the expected value and variance of X2 two different ways- directly from the probability space, and also by using our theorems, (If you think of X as the outcome of some game, then X2 is the result of playing the game twice, independently.)
