QUESTION 5 The probability that a seed will germinate is 0.36. Suppose 178 seeds are planted....

Question

Question

QUESTION 5 The probability that a seed will germinate is 0.36. Suppose 178 seeds are planted. Use the Central Limit Theorem t

Answer 1

Answer #1

Solution :

Using binomial distribution,

$\mu$ = n * p = 0.36 * 178 = 64.08

$\sigma$ = $\sqrt$ n * p * q = $\sqrt$ 0.36 * 0.64 * 178 = 6.404

Using continuity correction ,

= P((x - $\mu$ ) / $\sigma$ < (61.5 - 64.08) / 6.404)

= P(z < -0.40)

= 0.3446

Probability = 0.3446

Answer 2

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