The answers are as follows:
a) X denotes the number of the california residents that have adequate earthquake insurance
b) x = 1 ,2 ,3 ......
c) P( X=x ) = 0.3(1-0.3) ^ (x-1)
d) P( X=1) + P( X=2) + P( X=3) + P( X=4)
e) 0.49
f)0.42
g)0.33
<h3>What is probability?</h3>
It is a branch of mathematics that deals with the occurrence of a random event.
The complete question is
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?
given that 30% of California residents have adequate earthquake supplies.
a) variable X denotes the number of the california residents that have adequate earthquake insurance
b) x = 1 ,2 ,3 ......
c) p=0.3
P( X=x ) = 0.3(1-0.3) ^ (x-1)
d) P( X=1) + P( X=2) + P( X=3) + P( X=4)
= 0.3(1-0.3) ^ 0 + 0.3(1-0.3) ^1 + 0.3(1-0.3)^ 2 +...
e) P( X≥ 3) = 1- P(X<3)
= 1- (P(X=1) + (X=2))
= 1- 0.051
= 0.49.
f) E(X)= 1/P
p is the resident who does not have adequate earthquake supplies
p= 1-0.3
p = 0.7
E(X) = 1/0.7
= 0.42
g) E(X) = 1/q
= 1/0.3
= 3.333
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Answer:
5 units to the right!
It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.
Step-by-step explanation:
<h2>
<em><u> </u></em><em><u>The </u></em><em><u>question </u></em><em><u>satisfies </u></em><em><u>for </u></em><em><u>the </u></em><em><u>g</u></em><em><u>raph</u></em></h2>
Answers:
- Choice C) the number of hours the barn is rented
- Choice B) 10
- Choice A) the hourly rate
- Choice C) 550
- Choice B) the base fee to rent
- Choice A) The variable y
- Choice D) total amount charged
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Explanation:
The equation is y = 10x+550
If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.
On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.
It might be helpful to compare y = mx+b to y = 10x+550
m = 10 = slope = how things change
b = 550 = y intercept = starting point
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Example:
Let's say you rented the barn for 2 hours.
That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550
total = 20+550 = 570
This is what the steps could look like when plugging in x = 2
y = 10x+550
y = 10*2 + 550
y = 20 + 550
y = 570
Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.