M∠A = 142º I need it
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Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
Answer:
21 bushels of sweet corm weight 735 pounds.
Step-by-step explanation:
Given:
Weight of 21 bushels of sweet corn is obtained by multiplying the unit weight to the number of bushels required.
Unit weight of sweet corn is the weight of 1 bushel of sweet corn.
Weight of 1 bushel of sweet corn = 35 pounds
So, weight of 21 bushels of sweet corns = pounds.
Therefore, 21 bushels of sweet corn weigh 735 pounds.