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mixas84 [53]
2 years ago
12

For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f

riend will join her with probability 0.70 . Find the probability that when Cindi takes her trip, either Cindi's friend does not come to New England, or she does come but it is mostly cloudy. Assume that the timing of her coming to New England is independent of the weather conditions
Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

=(A^{|} )=1-P(A)=1-0.7=0.3

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

P(A \cap B)= P(A)P(B)=0.1*0.7=0.07

The probability of A doesn´t happen or A and B happen is:

P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

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Calculate the probability of needing at least 5 tosses of an unbiased coin to land a head.
Gnom [1K]

Answer:

0.03125

Step-by-step explanation:

If we have a fair coin the probability of landing a head is 50%.

We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

Prob \{ T,T,T,T,H\}

Since this events are independent we can write it as

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4 0
2 years ago
1. In the number 3687.54 20, what digit is in the hundredths place?
matrenka [14]

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3 years ago
Who can help me with this
Lady bird [3.3K]

Answer:

Growth

Step-by-step explanation:

Given

\frac{2}{3}(2.5)^x

Required

Growth or decay

The general form is:

y = ab^x

Such that:

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For b, we have the following conditions:

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0 --- Decay

b = 1 ---- None

Compare \frac{2}{3}(2.5)^x to y = ab^x

b = 2.5

<em>Because 2.5 > 1, then the first condition applies (growth)</em>

3 0
3 years ago
A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school’s studen
aniked [119]

Answer:

40 students

Step-by-step explanation:

We do not count the counselors or the principal because they are not students, so we do 83 - 3 = 80, now it is just simple division, for every student there is a parent, so we divide 80 in half, 80 / 2 = 40 students :D

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The first group collected 238 cans. The second group collected 345 cans. How many cans did the two groups collect?​
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The two groups collected 573.

Step-by-step explanation:

238

+345

=

573

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3 years ago
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