1) What is the probability of a z -score being less than 2 standard deviations f

Question

1) What is the probability of a z-score being less than 2 standard deviations from the mean in a normal distribution?

2) There are 12 blue marbles, 8 red marbles, and 20 green marbles in a jar. A marbles is drawn from the jar and replaced. This is repeated 4 times, and each time a green marble is drawn. On the fifth time, what is the probability of drawing a green marble?

3) Which of the following is equal to p(z > 2.00) in a normal distribution?

i. p(z < –2.00)

ii. 1 – p(z < 2.00)

iii. p(z > 1.00)

a. 95% b. More than 95% c. Less than 95%

2) There are 12 blue marbles, 8 red marbles, and 20 green marbles in a jar. A marbles is drawn from the jar and replaced. This is repeated 4 times, and each time a green marble is drawn. On the fifth time, what is the probability of drawing a green marble?

b. 40% c. d. 0.5

3) Which of the following is equal to p(z > 2.00) in a normal distribution?

i. p(z < –2.00)

ii. 1 – p(z < 2.00)

iii. p(z > 1.00)

a. I only b. I and II only d. I, II, and III

Explanation / Answer

1) more than 95%

2) Probability = 20/40 = 0.5

3) OPtion - b) I and II only

  

      

     

       

        

   

      

         

      

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