Question

A stock’s price fluctuations are approximately normally distributed with a mean of $29.51 and a standard deviation of $3.87. You decide to sell whenever the price reaches its highest 10% of values. What is the highest value you would still hold the stock?

Answer 1

$34.46

Step-by-step explanation:

In this Question there is Highest value of 10% and the probability of 90%.

we will use following formula to calculate the highest value of the stock

z value = ( x - mean ) / Standard deviation

where

x = the highest value

z score value at 10% = 1.28

Placing value in the formula

1.28 = ( x - $29.51 ) / $3.87

1.28 x $3.87 = x - $29.51

$4.9536 = x - $29.51

x = $4.9536 + $29.51

x = 34.4636