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please help answer these questions.

Question #1) Misa earned a scored

of 76 on her latest exam. The professor determined that all of the scores from this exam had a normal distribution with a mean of 87 and a standard deviation of 3. what is Misa's Z score on her exam? please answer to 3 decimal places.

Question #2) please identify all the correct characteristics of a Binomial Probability Distribution,

  • The binomial trails are dependent on each other
  • An example of a binomial trial is rolling a die
  • The variables are continuous
  • There can be three or more outcomes of each binomial trial
  • Each binomial trial has only 2 possibilities
  • The variables are discrete
  • The binomial trials are independent of each other
  • An example of a binomial trial is flipping coins

Question #3) please identify all the correct answer for a Poisson Probability Distribution ,

  • The poisson distribution is always positively sweked
  • The poisson distribution describes a situation where the probability of success does not remain the same from trial to trail
  • The poisson distribution's mean=median=mode
  • The variables in a poisson trial are counted
  • The poisson distribution describes the number of events occurring in a unit of space or time
  • An example of a poisson trial is counting number of misspelled words in a magazine article
  • The variables in a poisson trial are measured
  • An example of a poisson trial is selecting the members of committee from one business

Question #4) Assume breast cancer affects 0.004 of the female population between 45 and 55 years of age.

Assume mammograms are,

  • 0.92 accurate detecting people who actually have breast cancer (TRUE POSITIVE RATE)
  • 0.92 accurte for people who do not have breast cancer( TRUE NEGATIVE RATE)

Compute the probability that a female between the ages of 45 and 55 who tests positive for breast cancer has breast cancer. please place answer in 3 decimal places

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