Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
Answer:
7,7.5,8,8.1
Step-by-step explanation:
count 1 to 10. See what comes first and that's how you determine what comes first.
Answer:
Option A.
Step-by-step explanation:
It is given that
The given expression is
Substitute the given values in the above expression.
Therefore, the correct option is A.
For this case what you should do is use the following trigonometric relationship:
sin (x) = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse
Substituting the values we have:
sen (60) = long / h
sen (60) = 3 / h
h = 3 / sin (60)
h = 3.46
Answer:
h = 3.46