Answer:0.8 I think
Step-by-step explanation:
The probability the man will win will be 13.23%. And the probability of winning if he wins by getting at least four heads in five flips will be 36.01%.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ⁻ˣ⁾
A man wins in a gambling game if he gets two heads in five flips of a biased coin. the probability of getting a head with the coin is 0.7.
Then we have
p = 0.7
n = 5
Then the probability the man will win will be
P(X = 2) = ⁵C₂ (0.7)² (1 - 0.7)⁽⁵⁻²⁾
P(X = 2) = 10 x 0.49 x 0.027
P(X = 2) = 0.1323
P(X = 2) = 13.23%
Then the probability of winning if he wins by getting at least four heads in five flips will be
P(X = 4) = ⁵C₄ (0.7)⁴ (1 - 0.7)⁽⁵⁻⁴⁾
P(X = 4) = 5 x 0.2401 x 0.3
P(X = 4) = 0.3601
P(X = 4) = 36.01%
Learn more about binomial distribution here:
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Answer:
B
Step-by-step explanation:
If you were to plot the number
9 would be on the right of -6
therefore b is your answer
Answer:
1,620/.60 = $2,700
step-by-step explanation:
Calculate the complement of the trade discount 100% - 40 = .60 •Calculate the list price $n Discount Rates EXAMPLE: The list price of the office equipment is $15,000. The chain discount is 20/15/10.Step 1. $15,000 X .20 =$3,000Step 2. $15,000-3,000=$12,000 X .15 = $1,800Step 3. $12,000-1,800 = $10,200 X.10 = $1,020Step 4. $10,000- 1,020 = 9,180 Net PriceCalculating Net Price Using Net Price Equivalent Rate EXAMPLE: The list price of office equipment is $15,000. The chain discount is 20/15/10. What is the net price? Step 1. Calculate each rates complement and convert to a decimal.100%-20 = 80% which is .8100%-15= 85% which is .85100% -10 = 90% which is .9Step 2. Calculate the net price equivalent rate. ( Do not round ).8 X .85 X .9 = .612 Net price equivalent rate. For each dollar you are spending about 60 cents.Step 3. Calculate the net price (actual cost to buyer) $15,000 X .612 = $9,180Step 1. Subtract each chain discount rate from 100% (find the complement) and convert each percent to a decimal.Trade Discount AmountList price x Trade discount rate = Trade discount amount $5,678 x 25% = $1,419.50Net Price List price -- Trade discount amount = Net Price
