Jannete has 326 pennies, 64 nickles, and 15 dimes. if she has to exchange her coins for dollars how many dollars will she have ?
1 answer:
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Answer:
(a) The probability of the event (<em>X</em> > 84) is 0.007.
(b) The probability of the event (<em>X</em> < 64) is 0.483.
Step-by-step explanation:
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.
The probability mass function of a Poisson distribution is:
(a)
Compute the probability of the event (<em>X</em> > 84) as follows:
P (X > 84) = 1 - P (X ≤ 84)
Thus, the probability of the event (<em>X</em> > 84) is 0.007.
(b)
Compute the probability of the event (<em>X</em> < 64) as follows:
P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)
Thus, the probability of the event (<em>X</em> < 64) is 0.483.
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
- Side #1 = 18
- Side #2 = 2x - 3
- Side #3 = x
<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>
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<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>
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<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>
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<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>