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probability

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What formulas are easiest to have and learn when working out probability answers?

 
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Prepare the journal entries to record the transactions described above

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Flynn Company purchased 60 Rinehart Company 12%, 10-year, $1,700 bonds on

January 1, 2014, for $102,000. The bonds pay interest semiannually on July 1 and January 1. On January 1, 2015, after receipt of interest, Flynn Company sold 36 of the bonds for $56,100.

Prepare the journal entries to record the transactions described above. 

 
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A worker-machine operation was found to involve 4.4 minutes

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A worker-machine operation was found to involve 4.4 minutes of machine time per

cycle in the course of 40 cycles of stopwatch study. The worker’s time averaged 2.7 minutes per cycle, and the worker was given a rating of 120 percent (machine rating is 100 percent). Midway through the study, the worker took a 10-minute rest break. Assuming an allowance factor of 12 percent of work time which is applied only to the worker element (not the machine element), determine the standard time for this job. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

 
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probability

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Question

Let x be a random variable that

represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 52.0 kg and standard deviation σ = 9.0 kg. Suppose a doe that weighs less than 43 kg is considered undernourished.

(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)

(b) If the park has about 2150 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)

 does

(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 60 does should be more than 49 kg. If the average weight is less than 49 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 60 does is less than 49 kg (assuming a healthy population)? (Round your answer to four decimal places.)

(d) Compute the probability that x

 < 53.6 kg for 60 does (assume a healthy population). (Round your answer to four decimal places.)

Suppose park rangers captured, weighed, and released 60 does in December, and the average weight was x

 = 53.6 kg. Do you think the doe population is undernourished or not? Explain. 

Since the sample average is below the mean, it is quite likely that the doe population is undernourished.

Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.

Since the sample average is above the mean, it is quite likely that the doe population is undernourished.

Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.

 
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