Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be

Hence, the required probability is 0.1328.
The frequency stays the same and the wavelength decreases.
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy.
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Answer:
60 pages
Step-by-step explanation:
Evan types a total of 72 pages a day.
In the morning he typed 1/2 pages or 72/2 = 36 pages.
In the afternoon he typed 1/3 pages or 72/3 = 24 pages.
Together, he typed 36 + 24 = 60 pages in the morning and afternoon.
(3x19.95+23.5+124.95)1.05=
59.85+23.5+124.95 =208.3
208.3×1.05=218.715