The following table gives the probability distribution of a discrete random variable x. X 0 1 2 3 4 5 6 P(x) 0.12 0.18 0.29 0.15 0.12 0.07 0.07 Find P(1 ≤ x ≤ 4). P(1 ≤ x ≤ 4) =
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- The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(x) 0 0.40 1 0.30 2 0.25 3 0.05 Find the probability that there is at most two re-transmission. The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) 3 4 5 6 7 8 9 Probability P(v) 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000 0.0500 What is the probability that on a given day, discipline officers will discover at most 6 violations of the student handbook? (Input answer in 4 decimal places) type your answer...Consider the following discrete probability distribution. x 33 34 35 36 37 38 39 40 P(x) 0.02 0.06 0.10 0.20 0.24 0.26 0.10 0.02 (a) Find the probability that the random variable x is at most 38. Don't round. (b) Find the probability that the random variable x is at least 35. Don't round.Let x be a random variable with the following probability distribution 2 4 8 10 P(x) k 0.15 4k 0.1 0.25 Find the expected value and the standard deviation for x. Select one: a. 7 and 1.24 O b. 6.5 and 2.519 C. 6.5 and 2.414 O d. 10.5 and 2.519
- Consider the following probability distribution of the random variable x. f(x) 0.34 1 0.22 2 0.17 3 0.10 4 0.17 Find the probability that x is at least 3. Select one: O a. 0.73 O b. 0.27 O c. 0.56 O d. 0.17 O e. 0.44 O f. 0.83Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true.A discrete random variable x has the the following probability distribution X 2 3 4 5 6 P(X=x) 3k2k2 3k2k2 3kk 2kk kk i) Find the value of k? ii) Find P[X>5][3.5<X<6.5]P[X>5][3.5<X<6.5]
- Consider the following probability distribution of the random variable x. 1 3 4 f(x) 0.11 0.19 0.32 0.38 Find P(2 < x < 3). Select one: a. 0.51 O b. 0.38 O C. 0.32 O d. 0.11 O e. 0.30 O f. 0.19 O g. 0.702. A random variable|x has the following probability distribution. Find the value of p and then evaluate the following probabilities: P(X 5) and P(0 < X < 6). Find the mean of the probability distribution. 1 3 4 6 17 P(X) 2p 2p 3p p2 2p2 7p? + p Value of p = P(X < 5) =. P(X 2 5) = P(0 < X < 5) = Mean (u) =Prescott National Bank has 6 tellers available to serve customers. Let the random variable X be the number of tellers that are busy at 1pm on any given business day. The following is the probability distribution of X: Value of X 0 1 2 3 4 5 6 Probability 0.02 0.05 0.08 0.14 0.23 0.27 0.21 Find the probability that 4 or fewer tellers are busy, P(X < 4). A) 0.31 B) 0.44 C) 0.52 D) 0.57 Find the mean of the random variable X, μμ X A) 3 B) 4.16 C) 4.88 D) 3.34 E) 3.5 Find the standard deviation of the random variable X, σσ X = A) 1.0226 B) 0.7291 C) 1.5213 D) 1.8183