e probability distribution of X, the number of seats occupied in a jeepney at a given time of day, is given by 1 2 3. 4 7 8 10 f(x) .12 .20 .20 .14 .03 .02 .06 .07 .08 .07 .01 d the probability that at least four seats are vacant.
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- The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) ×3 X 4 5 6 P(x) 0.27 ? 0.32 0.14The table below is to be valid probability distribution for a data set. x P(x) 3 0.07 4 0.38 5 0.44 6 0.07 12 What is the missing probability to complete the probability distribution? P(12) =
- Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) ... X 3 4 5 6 P(x) 0.35 ? 0.38 0.12Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.
- K Suppose a basketball player is an excellent free throw shooter and makes 92% of his free throws (i.e., he has a 92% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws. Round to four decimal places. OA. 0.2213 OB. 0.9995 OC. 0.0005 OD. 0.7787Help. ThanksDetermine whether the distribution represents a probability distribution
- Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=Let the random variable X = the number of motor vehicle accidents per student in one year. Find the mean and standard deviation of the probability distribution, and interpret the value of the mean in the context of the real-life situation. X 1 3 4 Probability 0.15 0.29 0.25 0.18 0.10 0.03 Interpretation of µzWaiting time at a supermarket checkout counter is smooth in the range of (0; 15) minutes. have the distribution. The second shortest waiting period of a person going to the supermarket 4 times Find the probability that it is less than 7 minutes.