Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t)R(t)R, left parenthesis, t, right pare
nthesis (in \text{cm}cmstart text, c, m, end text) as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts jumping, her rope is 0\text{ cm}0 cm0, start text, space, c, m, end text off the ground, which is the minimum. After \dfrac{\pi}{12} 12 π start fraction, pi, divided by, 12, end fraction seconds, it reaches a height of 60\text{ cm}60 cm60, start text, space, c, m, end text from the ground, which is half of its maximum height
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Answer:
The probability that exactly 15 defective components are produced in a particular day is 0.0516
Step-by-step explanation:
Probability function :
We are given that The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20.
So,
we are supposed to find the probability that exactly 15 defective components are produced in a particular day
So,x = 15
Substitute the values in the formula :
Hence the probability that exactly 15 defective components are produced in a particular day is 0.0516