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AnnZ [28]
3 years ago
9

According to forrest gump, "life is like a box of chocolates. you never know what you're gonna get." suppose a candy maker offer

s a special "gump box" with 20 chocolate candies that look the same. in fact, 14 of the candies have soft centers and 6 have hard centers. choose 2 of the candies from a gump box at random.
Mathematics
1 answer:
kifflom [539]3 years ago
6 0
14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:
Both soft-centred: 0.7²=0.49 or 49%
Both hard-centred: 0.3²=0.09 or 9%
One of each: 2×0.3×0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.
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The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

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Hence the expected value is:

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For item 3, the parameters are:

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More can be learned about the binomial distribution at brainly.com/question/24863377

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