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Answer:
Step-by-step explanation:
Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3
Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.
i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7
a) the probability that the first arrival will occur during the third one-second interval.
= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec
=
b) the probability that the first arrival will not occur until at least the third one-second interval.
Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)
=
The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1
Hence the series converges
Prob =
Applying trigonometry ratios, the value of x is: -0.38
Recall:
Trigonometry ratios are SOH CAH TOA, and are used in solving right triangles.
In the right triangle ABC:
sin B = opp/hyp = b/a (SOH)
cos C = adj/hyp = b/a (CAH)
Therefore:
sin B = cos C
- Substitute
3x + 0.47 = 4x + 0.85
- Combine like terms together
3x - 4x = -0.47 + 0.85
-x = 0.38
- Divide both sides by -1
x = -0.38
Learn more about the trigonometry ratios on:
