Approximate the following binomial probabilities by the use of normal approximation. a. P(x< 12, n = 50, p = 0.3) b. P(12

You are playing a card came, and the probability that you will win a game is p = 0.73. If you play the game 1412 times, what is the most likely number of wins? (Round answer to one decimal place.) Let X represent the number of games (out of 1412) that you win. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = The range rule of thumb specifies that the minimum usual value for a random variable is u-2o and the maximum usual value is p+2o. You already found u and o for the random variable X. Use the range rule of thumb to find the usual range of X values. Enter answer as an interval using square- brackets and only whole numbers. usual values =

Let x be a random variable that has a normal distribution with a mean of 40 and a standard deviation of 5. After converting the following x-values to z-values, find the following probabilities: P(x < 49)     P(x > 55)

= Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =

Supposed Y follow a binomial distribution with n = 15 and p = 0.4. a.) Find the exact probabilities of Y < 8 and Y = 8 (from the included tables). b.) Compare these to the corresponding values found by using the normal approximation (from the included tables).

Suppose the random variable X follows a binomial distribution with n = 0.50. Using the normal approximation, what is the value for P(X > 38)? 100 and p =