Suppose that a random variable X is distributed uniformly over an interval [15, 25]. Find the following probabilities: (a) P(20 ≤X ≤ 25), (b) P(X ≤25), (c) P(15 ≤ X ≤ 25), (d) P(X ≤ 15).

Q: A class contains 50 students. The probability of failing in one of the courses for each : 0.035, but…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: he range of the random variable X is (0,1,2,3,x) where x is unknown. if each value is equally likely…

A: Given data, 0,1,2,3,x Mean=6 x=?

Q: Let of a loss due to damsge of insueed house and X be the payment by the insurance company. define…

A: Let Y: loss due to damage of insured house. Let X: Payment by insurance company.

Q: A random variable X denotes the number of consumers in a sample of 300 who favor a particular…

A: It is given that X : number of consumers out of 300 who favor a particular product.

Q: Let ZZ be a discrete random variable taking one of the four distributions covered in Chapter 10.…

A:

Q: Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Jada is…

A: Let X denotes the random variable from chi square distribution with 13 degree of freedom Y=a+bx…

Q: Find the following probabilities: a) P(X = 2) when X ∼ Bin(4, 0.6) b) P(X > 2) when X ∼ Bin(8,…

A: Consider X be a binomial distributed random variable. The probability mass function of the binomial…

Q: Suppose a and b be two possible values of a random variable X with a > b The probability that lies…

A: Given that a and b be two possible values of a random variable X with a > b The probability that…

Q: A report from the Department of Agriculture has shown that 35% of the produce in supermarkets has…

A: Ans#--> Let the random variable X has binomial distribution  With parameter   n = 12   ,  p =…

Q: Suppose the random variable y is a function of several independent random variables, say…

A: Given that the random variable y is a function of several independent random variables, say…

Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: Let X₁, X2, X3, X4, X5 be an independent and identically random variables following a Binomial…

A:

Q: A Gaussian random variable, X, has mean value a -5 and variance o" - 16. You can find a table of…

A: As per our guidelines, we can solve the first three sub parts of question and rest can be…

Q: Suppose that X is a random variable * ? having the following p.d.f. , Find Var(x) { 2(1 – x) 0 < x <…

A: Given: f(x)=2(1-x) , 0&lt;x&lt;1 The formula to compute the mean is: V(x)=∫x2fx dx-∫xfx dx2

Q: The repair times of smart phones in a repair shop are independent random variables with the same…

A:

Q: If X∼U(4,18) is a continuous uniform random variable, what is P(12<X<16)?

A:

Q: Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Tatiana is…

A: We have to answer questions based on chi square distribution.

Q: Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair…

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: If a dicrete random variable x takes only three values 2,5 and 9 and that p(x=2)= 0.2 , p(x=5) =…

A: We have to find p value..

Q: X takes values 1, 2, 3, 4 each with probability 1/4 and Y takes values 1, 2, 4, 8 with probabilities…

A: Given:  X=1,2,3,4 P(X=x) =1/4 for all above Xi Y=1,2,4,8 P(Y=1)=1/2, p(Y=2)=1/4, p(Y=4)=1/8,…

Q: A class contains 50 students. The probability of failing in one of the courses for each student is…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: Suppose that the discrete uniform random variable Y has range 5, 10,..., 30. Then Y = 5X where X has…

A:

Q: The probability of the closing of the iith relay in the circuits shown is given by pipi. Let…

A:

Q: If the number of minutes it takes a service stationattendant to balance a tire is a random variable…

A: Let x be the number of minutes it takes a service station time balance a tire follows exponential…

Q: It's desired to model the random variable X with a shape that rises to a peak near x=6 and whose…

A: The PMF can be found by altering and standardizing the quantity shape.

Q: Ho :p 2 0.5 vs. Hị : p< 0.5. i.e. the hypothesis that candidate A will not loose the election).…

A: The null and alternative hypotheses are: The test is left-tailed.   Sample size (n) = 20

Q: Let X be a random variable having a uniform distribution on the interval [0; 8]. Find the…

A: x is uniformly distributed between interval 0 to 8. P(atleast 8 times out of 10 experiment value of…

Q: Assume that a discrete random variable X such that V(X) = 6.5. Find the value of V

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X+1. Determine  P(Y>8).

A: Given that X follows Normal distribution with mean =3 and variance=4 And Y=2X+1

Q: Let P and Q be two independent Random variables with Var(P) = 5 and Var(Q) = 4. Find Var(7P+4Q-1).

A:

Q: It is known that in a certain town 30% of the people own an Kpfone. A researcher asks people at…

A:

Q: Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).

A: Linear combination of Normal random variables is also follows Normal.

Q: Find the indicated probabilities: a. P(5sxs7); µ=6; 0=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c.…

A: Given problem Given that   a) P( 5 ≤ x ≤ 7 ) μ = 6 σ = 2 Then, = P( [ 5 - 6 ] / 2  ≤ [ x - μ ] / σ…