O The random variable X has a binomial distribution B(11, p). If P(X = 8) = P(X = 7) find the value of p.
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Q: 7A. Given X is a binomial random variable, determine P(5(less than or equal to)X(less than)8). a.…
A: Given X is a binomial random variable, determine P(5(less than or equal to)X(less than)8).
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A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…
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Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X-1. Determine P(Y>8).
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Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?
A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…
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Q: x < 2 1 2<x<3 4. 15 , 33x<4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 53x<6 1 x26 2/3
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Q: Question 2. Let X be a normal random variable with u = -5 and o² = 4. a) Find P(X –3|X > -5).
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- An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. Find P(X=5)= Find P(X≥3)=Let X be the binomial random variable B(10,0.6). Find E(X2). O A. 36 O B. 2.4 С. 38.4 O D. -33.6 E. 8.4q16
- Q3. Let X and Y be two independent random variables, each representing the number of trials until the first success in a sequence of Bernoulli trials. Evaluate P(X = Y) assuming that the probability of success in a single trial(in case of X and Y both) is 0.4.IfX is a random variable that has a uniform distribution on the interval [o, 10), then PX+ 10 27 is equal toV:59)
- Suppose that the contagious period of COVID-20 has an average of 7 days, and follows a chi-square distribution. Let X measure the contagious period for a randomly selected specimen of the COVID-20 virus. State the distribution of the random variable X. Group of answer choices X∼χ2(6) X∼Student′st(7) X∼χ2(7) X∼Continuous(7) A friend of yours has COVID-20 and the doctors have told her that she has had it for 10 days. Compute the probability that they are still contagious. (I.E. compute the probability that X is greater than or equal to 10 days.)Three statistically independent random variables X₁, X₂ and X₂ have mean values X₁ =3, X₂ = 6 and X₂ = -2. Find the mean values of the following functions: 1 2 (a) (b) g(X₁, X₂, X3)= X₁ +3X₂ + 4X3 29 g(X₁, X₂, X3) = X₁X₂X₂ 29Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).