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During the regular local soccer league season, the main forward Aadya had the highest field
goal rate in the league. She scored with 51.4% of her shots. Suppose you choose a random
sample of 70 shots made by Aadya during the this season. Let T = the number of shots that
scored points. (10)
a) What is the probability distribution for T? Explain why you believe it to be so. (4)
b) Using the formulas, calculate the: (i) mean and (ii) standard deviation of T. (6)

Respuesta :

Using the formulas, the answers are:

a ) Binomial Distribution

b) (1) mean = 35.98 (2) standard deviation = 17.4 9

a) Binomial Distribution because it's an n-times independent replicate of the Bernoulli trial.

b) let p= 51 4% = 0.574

p = 1- 0514 = 0.486

formula : Ex= np

= 70x 0.514

= 35.48

EX = np ( + p )

= 70x 0.514 x 0.486

= 35.48

= 17. 49

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Learn more about standard deviation here: https://brainly.com/question/475676

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