I need help finding the slope
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Answer:
(a) The expected number of guests until the next one pays by American Express credit card is 4.
(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of guests until the next one pays by American Express credit card
The probability that a guest paying by American Express credit card is, <em>p</em> = 0.20.
The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.
The probability mass function of <em>X</em> is:
(a)
The expected value of a Geometric distribution is:
Compute the expected number of guests until the next one pays by American Express credit card as follows:
Thus, the expected number of guests until the next one pays by American Express credit card is 4.
(b)
Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:
Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
The value of x is –7.
Solution:
Given expression:
Let us factor .
Substitute this in the fraction.
To make the denominator same, multiply and divide the first term by (x +1).
Denominators are same, you can add the fractions.
Cancel the common term in the numerator and denominator.
Multiply the fractions.
The expression is simplified to one rational expression.
Suppose the expression is equal to 0.
Do cross multiplication.
Any number or variable multiplied by 0 gives 0.
Subtract 7 from both sides of the equation.
x = –7
The value of x is –7.