Respuesta :
(a) The number of people expected to have blood type O+ among 40 randomly selected people is 14 .
(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .
In the question ,
it is given that ,
probability that the person has blood group of type O+ is (p) = 0.35
the number of people randomly selected is (n) = 40 people ,
So , Number of people expected to have blood type O+ among 40 randomly selected people = Mean of the binomial distribution .
= n × p
= 40 × 0.35
= 14
So ,The standard deviation of the number of people expected to have blood type O+ among 40 randomly selected people = √(n × p × q)
= √(40 × 0.35 × (1-0.35))
= √(40 × 0.35 × 0.65)
= 3.0166
Therefore , (a) The number of people expected to have blood type O+ among 40 randomly selected people is 14 .
(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .
The given question is incomplete , the complete question is
If the probability that a person has blood type O+ is 0.35 and you have 40 randomly selected people ,
(a) About how many would you expect to have blood type O+ ?
(b) What is the standard deviation of the number of people who would have blood type O+ among the 40 people ?
Learn more about Binomial Distribution here
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