Question

In need of assistance. Please show your work -----> Given: Chance Experiment involving tossing a biased coin. Probability of heads: p = .20

A) The coin is tossed 12 times. Let z = the # of heads tossed.

i) What type of distribution would you use to find probabilities in this case? What is the general distribution function, p(z), you would use to find probabilities?

ii) Find the probability of tossing exactly 5 heads

iii) Probability of tossing at least 2 heads?

B) Introducing a new random variable: v = # of tosses until the first head is observed

i) What type of distribution will you use to find p in this case? General distribution, p(v), for probabilities?

ii) Find Probability that at most 2 flips have to happen before the first head is witnessed.

Answer 1

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