The distance in meters that a ball can be thrown by an athlete of a sports school follows a normal distribution with a mean of 35m and a standard deviation of 11.6 1) Find the probability that a randomly chosen athlete can throw a ball between 30m and 40m. 2) Find the probability that a randomly chosen athlete can throw a ball more than 40m 3) What is the probability that the mean of sample is less than 25cm?
Added by Brittany S.
Step 1
Z-score formula: z = (x - μ) / σ For 30m: z1 = (30 - 35) / 11.6 ≈ -0.431 For 40m: z2 = (40 - 35) / 11.6 ≈ 0.431 Now, we can use a z-table or calculator to find the area under the curve between these two z-scores. The area between z1 and z2 is approximately Show more…
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