Bought Google Stock At Closing At $362.50 Per Share

As per the data obtained, we findMean = 515.81Standard Deviation = 57.5832n = 2511. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year?Using the Empirical Rule, the probability is 0.52.If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at more than $400? P(X>400) = z = (X-µ)/σ)= (400 – 515.81)/57.58 = -2.0113P(z>-2.0113) = 0.9778 or 97.98%3. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $45 of the mean for that year? P(-45 <X-mean< 45 )= P(-45/57.58 <Z< 45/57.58)=P(-0.78<Z<0.78) =0.5646 = 56.46%4. Suppose a person within the last year claimed to have bought Google stock at closing at $362.50 per share. What is the probability that the stock closed at $362.50 or less on a randomly selected business day? (6 points)P(X<362.5) = z = (X-µ)/σ)= (362.5 – 515.81)/57.58 = -2.6626P(z<-2.6626) = 0.0039 or 0.39%5. At what prices would Google