A fair coin is tossed twice. Find the probability of obtaining at least o head g

Question

A fair coin is tossed twice. Find the probability of obtaining at least o head given that the first toss was a tail. A pair of fair dice is rolled. If the first die turns up a 3, what is the probability showing is 6 or 5? if a coin is tossed 10 times graph the histogram, assume that p (H) =1/3. find the mean and standard deviation of the experiment that the sum Urn A contains 5 white, and 3 black balls, and urn B has 4 white and 2 black balls. An urn is chosen at random and a ball is drawn Given that the ball is white, what is the probability that comes from urn A? If 80% of smokers started smoking before turning 18 years old, and 13 smokers 18 or older are randomly selected. Find the probability that exactly 7 of them started smoking before 18 years of age Find the probability that at least 7 of them started smoking before 18 years of age

Explanation / Answer

13. This follows binomial distribution. Use following formula to calculate the probabilitities.

a) P(x,r)=nCr(p)^r(q)^n-r, where, p is the probbaility of success, r is the number of successes in n trials and n is the number of trials.

P(x=7)=13C7(0.80)^7(0.20)^6=0.023

b) P(x>=7)=1-P(x<7)=1-[P(x=0)+P(x=1)+...+P(x=6)]=1-0.007=0.993

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