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42 votes
Assume that JQH’s returns are normally distributed. The expected return for JQH is 10% and standard deviation is 5%. What is the probability of JQH stock providing a return within the range 15% to 20%?Assume that JQH’s returns are normally distributed. The expected return for JQH is 10% and standard deviation is 5%. What is the probability of JQH stock providing a return within the range 15% to 20%?2.5%16%68%13.5%none

User Acelent
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1 Answer

21 votes
21 votes

Answer:

13.5%

Step-by-step explanation:

From this question we have the following information

We have mean return = 10

Standard deviation = 5

We use this formula

Z = x - mean/standard deviation

X is between 15 and 20

15< X< 20

= 15-10/5 < Z < 20-10/5

= 1 < z < 2

Using the Statistical table,

P(z < 2) = 0.9772

P(z< 1) = 0.8413

0.9772 - 0.8413 = 0.1359 x 100

= 13.5%

The probability of JQH stock providing a return within the range 15% to 20% = 13.5%

Thank you

User Nirma
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