we have 25 individuals that are randomly selected out of 100 shoppers leaving a local bedding store, and we know that each of the shoppers has the SAME probability of answering yes to having made a purchase, so we can assume that the probability that a person or a shopper made a purchase is 1 / 12.
Also we know that we selected 25 individuals, so there are 25 shoppers that can say yes, that means our sample size N is 25.
and you want to know the probability that exactly 4 of the 25 shoppers made a purchase
this is a binomial distribution because we can see that we have a sample size n = 25, we have a proportion of success, 1/2to say yes to having made a purchase and we can say that each shopper is independently from the other shoppers.
So the binomial equation is given by: (check the attached image)
so we know that we want P(X=4) because we want to know exactly 4 out of 25.
so n is 25, p is 1/2 and x is 4 so substituting the values into the equation we will get:
P(X=4) = 25C4 * (1/2)^4 * (1 - 1/2)^(25-4)
P(X=4) = 12650 * 0.0625 * 0.000000476
P(X=4) = 0.000377
the probability that exactly 4 of the 25 shoppers made a purchase is....0.00010243
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
9514 1404 393
Answer:
In step 4, Jim's answer is incorrect.
Step-by-step explanation:
In step 1, Jim swaps the order of addends using the commutative property of addition.
In step 2, Jim uses the distributive property to factor -1 from the final two terms. (The associative property lets Jim move parentheses.)
6.1 +(-8.5 -1.3) . . . associative property
6.1 +(-1)(8.5 +1.3) . . . distributive property
In step 3, Jim has used the properties of real numbers to form the sum of two of them.
In step 4, Jim wrote an answer of 1.1, when the answer should have been -3.7. Jim's answer is incorrect.
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The descriptive statements about steps 2 and 4 are both true.
A graph for the data (time and distance) shown in the given table is plotted in the image attached below.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = 67.814x
Read more on graphs here: brainly.com/question/25875680
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