Use counting rules to determine the probability. two students have the same birt
ID: 3220500 • Letter: U
Question
Use counting rules to determine the probability. two students have the same birthday. Assume 15) Determine the probability that in a class of 15 students at least that there are always 365 days in a year and that birth rates are constant throughout the year Solve the problem. 16) In a 2-card hand, what is the probability of holding 2 kings? 17) A committee consisting of 6 people is to be selected from eight parents and four teachers. Find the probability of selecting at least 2 teachers to serve on the committee. Find the probability. 18) In one town, 77% of adults have health insurance. What is the probability that6 adults selected at random from the town all have health insurance?Explanation / Answer
Q17.
Binomial Distribution
PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial
P( X < 2) = P(X=1) + P(X=0)
= ( 6 1 ) * 0.333^1 * ( 1- 0.333 ) ^5 + ( 6 0 ) * 0.333^0 * ( 1- 0.333 ) ^6
= 0.3518
P( X > = 2 ) = 1 - P( X < 2) = 0.6482
Q18.
seleccted six all have health insurance = 6 * 0.77 = 4.62
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