Answer:
0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $188.876
Standard Deviation, σ = $4.6412
We are given that the distribution of stock price is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(stock price is between $186.26 and $192.47)
[tex]P(186.26 \leq x \leq 192.47) = P(\displaystyle\frac{186.26 - 188.876}{4.6412} \leq z \leq \displaystyle\frac{192.47-188.876}{4.6412}) = P(-0.5636 \leq z \leq 0.7743)\\\\= P(z \leq 0.7743) - P(z < -0.5636)\\= 0.781 - 0.287 = 0.494 = 49.4\%[/tex]
[tex]P(186.26 \leq x \leq 192.47) = 49.4\%[/tex]
0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.
