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11D Expected value, variance and s.d. of the binomial distribution

11D Expected value, variance and s.d. of the binomial distribution. The random variable, X , is such that and has the following probability distribution. Find expected value, variance and standard deviation. 11D Expected value, variance and s.d. of the binomial distribution.

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11D Expected value, variance and s.d. of the binomial distribution

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  1. 11D Expected value, variance and s.d. of the binomial distribution The random variable, X, is such that and has the following probability distribution. Find expected value, variance and standard deviation.

  2. 11D Expected value, variance and s.d. of the binomial distribution The random variable, X, is such that and has the following probability distribution. Find expected value, variance and standard deviation. OR

  3. 11D Expected value, variance and s.d. of the binomial distribution The random variable X follows a binomial distribution such that . Determine the: expected value b. variance and standard deviation

  4. 11D Expected value, variance and s.d. of the binomial distribution A fair die is rolled 15 times. Find: the expected number of 3s rolled, the probability of obtaining more than the expected number of 3s.

  5. 11D Expected value, variance and s.d. of the binomial distribution A fair die is rolled 15 times. Find: the expected number of 3s rolled, the probability of obtaining more than the expected number of 3s.

  6. 11D Expected value, variance and s.d. of the binomial distribution • A binomial random variable has an expected value of 14.4 and a variance of 8.64. Find: • a. the probability of success, pb. the number of trials, n

  7. 11D Expected value, variance and s.d. of the binomial distribution • A binomial random variable has an expected value of 14.4 and a variance of 8.64. Find: • a. the probability of success, p b. the number of trials, n

  8. 11D Expected value, variance and s.d. of the binomial distribution A new test of reading showed that 10% of the students entering high school had a level of reading inadequate to cope with high school. if 400 students are selected at random, find the expected number of students whose reading level is inadequate to cope with high school, determine the standard deviation of students whose reading level is inadequate to cope with high school and hence calculate μ 2σ, discuss the results from b.

  9. 11D Expected value, variance and s.d. of the binomial distribution A new test of reading showed that 10% of the students entering high school had a level of reading inadequate to cope with high school. if 400 students are selected at random, find the expected number of students whose reading level is inadequate to cope with high school, determine the standard deviation of students whose reading level is inadequate to cope with high school and hence calculate μ 2σ, discuss the results from b. =40

  10. 11D Expected value, variance and s.d. of the binomial distribution A new test of reading showed that 10% of the students entering high school had a level of reading inadequate to cope with high school. if 400 students are selected at random, find the expected number of students whose reading level is inadequate to cope with high school, determine the standard deviation of students whose reading level is inadequate to cope with high school and hence calculate μ 2σ, discuss the results from b. =40

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