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Furkat [3]
3 years ago
13

When coin 1 is flipped, it lands on heads with probability .4; when coin 2 is flipped, it lands on heads with probability .7. On

e of these coins is randomly chosen and flipped 10 times. (a) what is the probability that exactly 7 of the 10 flips lands on heads? (b) Given that the first of these 10 flips lands heads, what is the conditional probability that exactly 7 of these 10 flips lands on heads?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

Solution Let E1 be the event that coin 1 is selected and E2 the event that coin 2 is selected. Let F be the event that exactly 7 of the 10 flips lands on heads, let G be the event that the fist flip is heads.

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Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
djyliett [7]
We cant get 2 fours in a single die.we need at least 2 die to get 2 fours.
4 0
3 years ago
A borrower had a loan of $ 60 comma 000.00 at 4 % compounded annually comma with 8 annual payments. Suppose the borrower paid of
quester [9]

Answer:

The amount needed to pay off the loan after 4 years is $70,192

Step-by-step explanation:

When interest is compounded annually, total amount A after t years is given by:

A = P(1 + r)^{t}

where P is the initial amount (principal), r is the rate and t is time in years.

From the question:

P = $60,000

r = 4% = 0.04

t = 4

A = 60000(1 + 0.04)^{4} \\A = 60000(1.04)^{4}\\A = 60000 * 1.16985856\\A = 70191.5136\\A = 70192

The amount needed to pay off the loan after 4 years is $70,192

If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.

7 0
3 years ago
Aidan can complete a job in 5 minutes, while Joseph can complete the same job in 15
cluponka [151]

Answer:

10 minutes?

Step-by-step explanation:

Sorry if it is incorrect but what I did was I found the average of 5 minutes and 15 minutes and got 10.

Here's my problem solving explanation:

(5 + 15) / 2 = 10

3 0
3 years ago
Read 2 more answers
One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who
Helga [31]

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

\Rightarrow 48\times 341=16,368\ ml  

Amount of Juice Nicole has

\Rightarrow 36\times 341=12,276\ ml

Thus, Celine has more juice than Nicole

\Rightarrow 16,368-12,276=4092\ ml

Celine has 4092 ml more than Nicole

7 0
3 years ago
What is the base of the expression 11^12? A. 3 B. 11 C. 12 D. 21
lisov135 [29]
<h3>Answer: B. 11</h3>

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.

8 0
3 years ago
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