Respuesta :
Answer:
this answer is you listen
by the Rishabh
Step-by-step explanation:
mean of 3 out of 5 students
x 3 and 5 product of means product of extreme 3 and 4 is product of means 5 and 8 is the product of extreme x and your answer is coming follow the Rishabh
The probability of less than 4 students asking for tomato sauce along with their meal would be:
0.738
Given that,
Mean of the students asking for tomato sauce = 3/5
No. of random samples collected = 8 students
Given that,
Less than 4 = 0, 1, 2, 3
Let x be the number of students who ask for tomato sauce with their meal.
So,
[tex]P(x < 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)[/tex]
P(x = o) = [tex]C^{0} _{8} ( 1 - 3/5)^8 = 0.0007[/tex]
P(x = 1) = [tex]C^{1} _{8} ( 3/5) (1 - 3/5)^7 = 0.0079[/tex]
P(x = 2) = [tex]C^{2} _{8} (3/5)^2 ( 1 - 3/5)^6 = 0.0413[/tex]
P(x = 3) = [tex]C^{3} _{8} (3/5)^2 ( 1 - 3/5)^5 = 0.1239[/tex]
Using binomial distribution,
[tex]P(x< 4) = 0.0007 + 0.0079 + 0.0413 + 0.1239[/tex]
[tex]= 0.738[/tex]
Thus, 0.738 is the correct answer.
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