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prisoha [69]
3 years ago
10

If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B).

Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

P(A or B) = 25%

Step-by-step explanation:

P(A and B) = 30%

P(A) = 40%

P(B) = 15%

Apply given formula:

P(A or B) = P(A) + P(B) - P(AB)

= 40%+15+-30%

= 25%

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Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p. ​, The​ mean, ​,
klemol [59]

Complete Question

Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p. ​, The​ mean, ​, is nothing. ​(Round to the nearest tenth as​ needed.)

    p =  0.6   n =  18

Answer:

The mean   \mu  = 10.5

The standard deviation \sigma =  2.08

The  variance   var  = 4.32

Step-by-step explanation:

From the question we are told that

      The probability of success   is  p = 0.6

      The  sample size is n = 18

  Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

              q =  1- p

substituting values

              q =  1-  0.6

              q =0.4

Generally the mean is mathematically evaluated as

             \mu  =  np

substituting values

             \mu  =  18 * 0.6    

             \mu  = 10.5

The  standard deviation is evaluated as

              \sigma =  \sqrt{npq}

substituting values

               \sigma =  \sqrt{18 *  0.6 * 0.4}

              \sigma =  2.08

The variance is evaluated as

               var  =  \sigma^2

substituting value

              var  = 2.08^2

              var  = 4.32

4 0
4 years ago
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10y+10=130

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