For a frequency distribution in the (a, b, 0) class, you are given i pk = 0.0768 %3D ii Pk+1 = Pk+2 = 0.08192 iii Pk+3 = 0.0786432 %3| Determine the mean of this distribution by using E(N)=t
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- Determine the appropriate z or t alpha value and calculate the error bound for the mean.The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width 0.32 of 0.20. Does the frequency distribution appear to be roughly a normal distribution? 0.22 0.53 0.16 1.25 0.15 0.02 0.21 0.16 0.56 0.02 0.21 0.19 0.21 Daily Rainfall (in inches) Daily Rainfall (in inches) Frequency Frequency 0.00-0.19 0.80-0.99 0.20-0.39 1.00-1.19 0.40-0.59 1.20-1.39 0.60-0.79 Does the frequency distribution appear to be roughly a normal distribution? O A. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is not symmetric. O B. No, the distribution is not symmetric and the frequencies do not start off low. O C. Yes, all of the requirements are met. O D. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.Previous studies have suggested that human body temperature is normally distributed with a mean of 98.6∘98.6∘ F and a standard deviation of 0.7∘0.7∘ F. You sample 75 random humans and find ¯x=97.1∘x¯=97.1∘ F. To estimate the typical human's body temperature,we should use: 2-PropZInt 2-SampZInt 2-SampTInt ZInterval TInterval 1-PropZInt
- Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.How to use a power calculator to compute power for the t distribution?The average grade in an exam is (65 + N) and the standard deviation is 8. A grade (C) will be given between 45% and 64% of the grades received by the students. Find the required grade for the student to get (C). (Assume that the distribution of the notes is normally distributed.)
- Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=Assume a poison distribution if A= 0.5, find p(x=1) the A represents a symbolAssume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)
- The lifespans of light bulbs are known to follow an exponential distribution. The exponential distribution, often denoted exp(β), is characterized by a single mean parameter β. The exponential distribution has a unique property that its standard deviation is equal to its mean. Suppose you order 100 light bulbs known to each have lifespans (in years) distributed according to exp(4). What is the probability that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.654; and s = -0.562Adam's GPA has a z-score of -1.460. What is Adam's GPA?(Leave your answer to 2 decimals: ex: 1.23)
