okay so, i know how to solve by elimination but not when the equation is mixed up like this, how do i get the equation in the ri
ght form so i can solve it?
1 answer:
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Answer:
(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.
(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.
(c) The probability that at most five must be selected to find four that are not seconds is 0.9453.
Step-by-step explanation:
Let <em>X</em> = number of seconds in the batch.
The probability of the random variable <em>X</em> is, <em>p</em> = 0.31.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The probability mass function of <em>X</em> is:
(a)
Compute the probability that only one goblet is a second among six randomly selected goblets as follows:
Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.
(b)
Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:
P (X ≥ 2) = 1 - P (X < 2)
Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.
(c)
If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.
P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)
Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.
First, ensure that both sides are single fractions:
By cross multiply, we mean:
1. multiplying the numerator of the left hand side with the denominator of the right hand side.
2.multiplying the numerator of the right hand side with the denominator of the left hand side.
That is ..
a x d = c x b
By cross multiply, we mean:
1. multiplying the numerator of the left hand side with the denominator of the right hand side.
2.multiplying the numerator of the right hand side with the denominator of the left hand side.
That is ..
a x d = c x b