Suppose you flip a fair coin N times. Let random variable h be the number of heads that occur. Use the normal approximation to estimate the following probabilities. Write your answers using integrals. Do not evaluate the integrals. a. P(he [495000, 505000]) given that N = 106 b. P(h> 9000) given that N = 104 c. P(h<40 or h>60) given that N = 10²

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Suppose you flip a fair coin N times. Let random variable h be the number of heads that occur. Use the normal
approximation to estimate the following probabilities. Write your answers using integrals. Do not evaluate the integrals.
a. P(h € [495000, 505000]) given that N 106
b. P(h > 9000) given that N = 104
c. P(h < 40 or h > 60) given that N
=
-
10²
Transcribed Image Text:Suppose you flip a fair coin N times. Let random variable h be the number of heads that occur. Use the normal approximation to estimate the following probabilities. Write your answers using integrals. Do not evaluate the integrals. a. P(h € [495000, 505000]) given that N 106 b. P(h > 9000) given that N = 104 c. P(h < 40 or h > 60) given that N = - 10²
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