The probability that X is greater than 70 and less than 90 is; 0.85
<h3>How to find the probability?</h3>
Let X be the binomial random variable with the parameters:
n = 200
p = 0.4
Then, the random variable Z defined as:
Z = (X - np)/(√(np(1 - p)
The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)
At X = 70, we have;
Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = -1.44
At X = 90, we have;
Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = 1.44
Thus, the probability would be expressed as;
P(-1.44 < Z < 1.44)
From online p-value calculator, we have;
P(-1.44 < Z < 1.44) = 0.85
Complete question is;
Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.
Read more about probability at; brainly.com/question/4621112
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Answer:
150°C
Explanation:
T1 = 7.00 C = 7 + 273 = 280 K
V1 = 49.0 ml
V2 = 74.0 ml
T2 = ?
Under constant pressure, V1/T1 = V2/T2, so
T2 = T1 * (V2/V1) = 280 * (74/49) = 423 K = (423 - 273) C = 150 C
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Answer:
behaviour that is good for everyone
Explanation:
i think that the first one is correct because following the rules, what if the rules permits u or forces u to do something which is morally worng .Ethics is related to both morals and principals
