Answer:
a) 0.75
b) 0.0625
c) 0.1875
d) 0.375
Step-by-step explanation:
Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.
Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75
It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.
a) As given above, this probability is 0.75
b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625
c) Like in part (b), this is both of their probabilities multiplied:
0.25 x 0.75 = 0.1875
d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:
- First teacher gets 6 boxes, and the second gets 2.
- First teacher gets 2 boxes, and the second gets 2.
Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:
0.1875 + 0.1875 = 0.375
what are the expressions?
please put the expressions so that i can help you! c:
Answer:
The test statistics is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
The level of significance is 
Generally the test statistics is mathematically represented as
=> 
=>
Answer:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:
400 = 1000m + b (1)
Also:
300 = 500m + b (2)
Hence:
m = 0.2 = 20%, b = $200
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
Find out more on equation at: brainly.com/question/2972832
