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:
CBA = DEA
Step-by-step explanation:
Theyre the only right angles listed.
Answer:
For 3 different values of x
Step-by-step explanation:
Here, we want to get the values of x for which
√(48/x) is a whole number
We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48
Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root
The factors of 48 that can yield a whole number are;
1,2,3,4,6,8,12,16,24 and 48
However, the divisions that can yield a perfect square are
3 (yield 16)
12 ( yield 4)
48 ( yield 1)
So the numbers of the value of x that can yield a whole number is 3
Answer:
25%
Step-by-step explanation:
If we consider the original price of the piece of suit is x.
Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.
Therefore, the new price of the suit on Monday is
.
Now, the price of the suit on Tuesday was changed back to the original price i.e. x.
Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.
So, the percentage change in price of the suit on Tuesday is
%. (Answer)