Answer:
graph attached
Step-by-step explanation:
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609
Title:
Step-by-step explanation:
It is given that, if 100 persons book their seats, then only 88 passengers come.
The probability of 1 passenger to come is = 0.88.
There will not be enough seats only when, 331 or more than 331 passengers will come.
The probability of 1 passenger will not come is (1 - 0.88)= 0.12.
Out of 354 passengers the probability that n passengers will come is .
The required probability is ∑, where .
Answer:
4
Step-by-step explanation:
Using the provided information, it is determined that $6000 was Joyce's total weekly sales.
Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages.
Given:
An insurance agent named Joyce Flynn made a commission of $1,800 in her first week on the job. She receives a 30% commission.
We need to find the total sales for the week.
Let, x = total commission
Since, 30% of total commission is 1800. So, total sales will be:
x = 1800/0.30 = 6000
Therefore, Joyce's total sales for the week is found to be $6000 by using the given data.
Learn more about percentage here:
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- 1
- m - 7 = 5
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