Calculating a probability from a binomial random variable

Let X be a random variable representing the sum of trials. Then X is a binomial random variable if all of the following are satisfied except a. no two trials can have the same outcome b. p, the probability of "success" on any trial is the same for all trials c. each trial has exactly two possible outcome

Each item produced by a certain manufacturer is, independantly, of acceptable quality with probability 0.95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable.

The random variable X has a Poisson distribution with a mean of 5. The random variable Y has a binomial distribution with n=X and p=1/2. a) Find the mean and variance of Y. b) Find P(Y=0)

1. suppose a computer chip manufacturer rejects 3% of the chips produced because they fail presale testing. A. What is the probability that the sixth chip you test is the first bad one you find? My Answer: Using the Geometric Probability Model Conditions: 1. Only 2 possible outcomes - yes 2. p is constant - yes, 0.03

Cruise ships of the Royal Viking line report that 80 percent of their rooms are occupied during September. For a cruise ship having 800 rooms, what is the probability that 665 or more are occupied in September?

38. Suppose x is a binomial random variable with n = 3 and p = 3 a. calculate the value of p(x), x = 0,1,2,3 using the formula for a binomial probability distribution b. using your answers to part a, give the probability distribution for x in tabular form 42. The binomial probability distribution is a family of proba

1. Compute the following and show your steps. 3! ÷ (0!*3!) 2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club memb

Nathan wants to approximate a binomial probability by normal curve areas. The number of trials is 50 and the probability of success for each trial is 0.95 Can Nathan use the normal curve area to approximate a binomial probability?

For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x. 1. Determine P (x = 4). a. 0.05 b. 0.10 c. 0.15 d. 0.20 2. Find P (x >= 4). a. 0.60 b. 0.45 c. 0.75 d. 0.55 3. What is P (2 < x <= 5)? a. 0.70