Suppose you are told that the number of X Station gaming consoles increased linearly for the month of December. What can the slo
2 answers:
Answer:
Step-by-step explanation:
The slope (m) is a number that describes both the direction and the steepness of the line and it can be calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line (rise over run). In our case the vertical change (change in y or rise) wil be the amount of consoles sold and the horizontal change (change in x or run) will be the days of the month of december(i.e. x consoles per day). Like this
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Answer:
a) 23.11% probability of making exactly four sales.
b) 1.38% probability of making no sales.
c) 16.78% probability of making exactly two sales.
d) The mean number of sales in the two-hour period is 3.6.
Step-by-step explanation:
For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:
Six calls per hour, 2 hours. So
Sale on 30% of these calls, so
a. The probability of making exactly four sales.
This is P(X = 4).
23.11% probability of making exactly four sales.
b. The probability of making no sales.
This is P(X = 0).
1.38% probability of making no sales.
c. The probability of making exactly two sales.
This is P(X = 2).
16.78% probability of making exactly two sales.
d. The mean number of sales in the two-hour period.
The mean of the binomia distribution is
So
The mean number of sales in the two-hour period is 3.6.