Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5 percent on the first 10 suits, and
1 answer:
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Answer: a) 0.6561
b) 0.9999
Step-by-step explanation:
We use Binomial distribution here (Since each satellite is independent of each other.).
In Binomial distribution :
, where P(X) = probability of getting x successes in n trials.
p= probability of getting success in each trial.
As per given , we have
n= 4
p= 0.9
Let x = Number of satellites will correctly detect the next incoming missile.
a) The probability that all 4 satellites will correctly detect the next incoming missile:
∴the probability that all 4 satellites will correctly detect the next incoming missile=0.6561
b) The probability that at least one of the four satellites will correctly detect the next incoming missile :
∴the probability that at least one of the four satellites will correctly detect the next incoming missile = 0.9999