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. P(h E [495000, 505000]) given that = 100 b. P(h > 9000) given that N = 104 P(h < 40 or h > 60) given that N = 102 а. C.

If n = 1000000, then

If n = 10400, then

If N = 102, then

Step-by-step explanation:

Since the coin is fair, then the probability that a filp is heads is 1/2. Given N tries, the amount of heads can be approximated with a Normal distribution with mean μ =  N *1/2 = N/2 and standard deviation σ = √(N*1/2 * 1/2) = √N/ 2

The density function of that random variable is given by de following formula

If n = 1000000, then

If n = 10400, then

If N = 102, then

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )