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    Standard normal curve, car towing calls, new curriculum

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    Instructions: Solve the following problems keep the guidelines below in check.
    If you are calculating something using a table, the number of decimal places from the table is expected. like z=1.00, table value is .8413 (2 decimal places for z, 4 for the probability)

    REGARDING NUMBER OF DECIMAL PLACES:
    IF AN ANSWER CALLS FOR 4 DECIMAL PLACES (FOR EXAMPLE), CALCULATE TO 5 DECIMAL PLACES AND ROUND TO 4.

    7. Test scores are Normally Distributed with a mean of 65 and a Standard Deviation of 8.
    Calculate the z-score of a test score of 84

    8. Solve the problem: Find the area under the standard normal curve to the right of z = -1.25

    9. Solve the problem: A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is six.

    10. 0.32 of all college students like the idea of a new curriculum.
    If we select 88 students (ASSUME INDEPENDENCE), what is the Standard Deviation of the Probability Distribution that would list the number of students (from 0 to 88) and the probability of each.
    If the answer cannot be calculated, enter zero (0) as your answer.
    Round to 4 decimal places otherwise. YES, you need, therefore, to look at the 5th decimal place.0.32 of all college students like the idea of a new curriculum.
    If we select 88 students (ASSUME INDEPENDENCE), what is the Standard Deviation of the Probability Distribution that would list the number of students (from 0 to 88) and the probability of each.
    If the answer cannot be calculated, enter zero (0) as your answer.
    Round to 4 decimal places otherwise. YES, you need, therefore, to look at the 5th decimal place.

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    https://brainmass.com/statistics/normal-distribution/standard-normal-curve-car-towing-calls-new-curriculum-362862

    Solution Preview

    Please see the attached files.

    7. Let X denotes the test scores. Given X follows normal distribution with mean 65 and standard deviation 8.
    Symbolically this can be expressed as
    Standardizing
    The Z score corresponding to X = 84 is = 2.38

    8. Area under standard normal curve to the right of z = -1.25 is:
    = 0.1056
    NB. can be calculated by using the excel function NORMSDIST(-1.25)

    9. Let X denotes the number of calls per hour. X can be approximated by Poisson distribution with λ = 2
    Probability that in a ...

    Solution Summary

    Standard normal curve, car towing calls, and new curriculum are examined.

    $2.19

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