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Chapter 13: Q55. (page 708)

Find each probability if a coin is tossed 4 times.

P(at least 1 heads).

Short Answer

Expert verified

P(at least 1 heads) = 0.9375.

Step by step solution

01

Step 1. Given

A coin is tossed 4 times.

02

Step 2. To determine

P(at least 1 heads).

03

Step 3. Calculation

Total number of tosses = n = 4

Probability of getting a head in each toss = p = 0.5

The number of heads = X ≥ 1.

X follows a binomial distribution with n = 4 and p = 0.5.

So,

Patleast1heads=PX≥1=1−PX=0=1−400.501−0.54−0=1−0.0625=0.9375

Hence, P(at least 1 heads) = 0.9375.

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