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1 answer:
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Answer:
b) 0.0007
c) 0.4163
d) 0.2375
Step-by-step explanation:
We are given the following:
We treat securities lose value as a success.
P(Security lose value) = 70% = 0.7
Then the securities lose value follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 20.
a) Assumptions
- There are 20 independent trials.
- Each trial have two possible outcome: security loose value or security does not lose value.
- The probability for success of each trial is same, p = 0.7
b) P(all 20 securities lose value)
We have to evaluate:
0.0007 is the probability that all 20 securities lose value.
c) P(at least 15 of them lose value.)
d) P(less than 5 of them gain value.)
P(gain value) = 1 - 0.7 = 0.3
Answer:
25,000 grams
Step-by-step explanation:
Density can be found using the following formula:
If we rearrange the formula for , mass, we will multiply both sides of the equation by v.
The mass can be found by multiplying the density by the volume.
Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.
Substitute the values into the formula.
Multiply. When you multiply, the "mL" or milliliters will cancel out.
Jeff's mass is 25,000 grams.