Question

In: Statistics and Probability

I need answers for question 3 and 4. I believe I'm correct with question 1 and...

I need answers for question 3 and 4. I believe I'm correct with question 1 and 2 but not sure which could make question 3 and 4 incorrect.

  1. calculate descriptive statistics for the variable (Coin) where each of the thirty-five students in the sample flipped a coin 10 times. Round your answers to three decimal places and type the mean and the standard deviation in the grey area below.
    Coin
    7
    6
    4
    6
    4
    6
    4
    6
    4
    4
    3
    5
    5
    6
    3
    3
    5
    6
    3
    7
    5
    2
    6
    6
    6
    3
    3
    7
    2
    4
    6
    5
    6
    6
    7
  2. Mean: 4.885

    Standard deviation: 1.490

  3. List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was calculated with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places)

P(x=0)

P(x=6)

P(x=1)

P(x=7)

P(x=2)

P(x=8)

P(x=3)

P(x=9)

P(x=4)

P(x=10)

P(x=5)

4. Give the probability for the following based on the calculations in question 3 above, with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places)

P(x≥2)

P(x<0)

P(x>2)

P(x≤5)

P(5<x ≤7)

P(x<5 or x≥7)


Solutions

Expert Solution

Solution:

List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was calculated with the probability of success being ½. (Complete sentence not necessary; round your answers to three decimal places)

Answer: We have to use the binomial probability distribution to find the given probabilities.

Here we have:

4. Give the probability for the following based on the calculations in question 3 above, with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places)


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