Question

When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to comma 970,128 radioactive atoms, so 29,872 atoms decayed during 365 days.

a. Find the mean number of radioactive atoms that decayed in a day.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

Answer #1

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When studying radioactive material, a nuclear engineer found
that over 365 days, 1,000,000 radioactive atoms decayed to 979,293
radioactive atoms, so 20,707 atoms decayed during 365 days.
a. Find the mean number of radioactive atoms that decayed in a
day.
b. Find the probability that on a given day, 50 radioactive
atoms decayed.

When studying radioactive material, a nuclear engineer found
that over 365 days, 1,000,000 radioactive atoms decayed to 979,634
radioactive atoms, so 20,366 atoms decayed during 365 days
a. Find the mean number of radioactive atoms that decayed in a
day.
b. Find the probability that on a given day, 51 radioactive
atoms decayed.

Radioactive atoms are unstable because they have too much
energy. When they release their extra energy, they are said to
decay. When studying a particular radioactive element, it is found
that during the course of decay over 365 days, 1,000,000
radioactive atoms are reduced to 986,949 radioactive atoms.
Find the mean number of radioactive atoms lost through decay in a
day.
mean =
Find the probability that on a given day 30 radioactive atoms
decayed.
P(X = 30) =

1. Given that a freshly prepared radioactive isotope has a
half-life of 10 days, the percentage of it remaining after 30 days
is
A
30.0 %.
B
10.0 %.
C
12.5 %.
D
72.5 %.
2. During a second half-life, the original
material has decayed
A
25%.
B
50%.
C
75%.
D
100%.

A local service station is open 7 days per week, 365 days per
year. Sales of 10W40 grade premium oil average 25 cans per day.
Inventory holding costs are $0.90 per can per year. Ordering costs
are $7 per order. Lead time is two weeks. Backorders are not
practical—the motorist drives away.
a.
Based on these data, calculate the economic order quantity and
reorder point. Hint: Assume demand is deterministic. (Round
your answers to the nearest whole number.)
Economic order...

A civil engineer has been studying the frequency of vehicle
accidents on a certain stretch of interstate highway. Longterm
history indicates that there has been an average of 1.74 accidents
per day on this section of the interstate. Let r be a
random variable that represents number of accidents per day. Let
O represent the number of observed accidents per day based
on local highway patrol reports. A random sample of 90 days gave
the following information.
r
0
1...

The clearness index was determined for the skies over Baghdad
for each of the 365 days during a particular year. The following
accompanying table summarizes the resulting data.
Clearness Index
Number of Days (frequency)
0.15 to <0.25
9
0.25 to <0.35
19
0.35 to <0.45
28
0.45 to <0.50
24
0.50 to <0.55
39
0.55 to <0.60
52
0.60 to <0.65
96
0.65 to <0.70
87
0.70 to <0.75
11
(a) Determine the relative frequencies and fill in the following...

1) A researcher reports that when groups of four children are
randomly selected from a population of couples meeting certain
criteria, the probability distribution for the number of girls, ?,
is given in the following table where ? is a positive constant.
x
?(?)
?(? ≤ ?)
0
0.4
?
1
?
?
2
3? − 0.2
?
3
2?
?
4
0.2
?
a) Find ?(2).
b) Complete the column of cumulative probability. (Please rewrite
the table in your...

Please answer each question and explain how you found
the correct answer.
2. Additionally, customer satisfaction surveys have indicated
that 65% (p=.65) of all TGP customers rate service as good or
excellent. You are taking a new survey to see if this is still the
case. Assuming a normal distribution, what is the probability
that:
a) your inquiry of 90 customers will provide a sample proportion
within + and - .10 of the population proportion?
b) Your inquiry of 90...

2. How many ways can you select a planning committee of three
for a group of eight executives
3. You have produced four advertisements to use while selling a
new product. What are all the possible ways you can order these
four ads if you plan to only use two during the summer months
4. A manufacturer of cranes purchases electric motors from three
suppliers: General Electric, Westinghouse, and Samsung. Thirty
percent of the motors are purchased from General Electric,...

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