The grouping of particles in a suspension is 50 for each mL. A 5 mL volume of the

suspension is removed.

a. What is the likelihood that the quantity of particles removed will be among 235 and

265?

b. What is the likelihood that the normal number of particles per mL in the pull out example

is somewhere in the range of 48 and 52?

c. In the event that a 10 mL test is removed, what is the likelihood that the normal number per mL

of particles in the removed example is somewhere in the range of 48 and 52?

d. How huge an example should be removed with the goal that the normal number of particles per mL in

the example is somewhere in the range of 48 and 52 with likelihood 95%?

In an arbitrary example of 100 batteries created by a specific technique, the normal

lifetime was 150 hours and the standard deviation was 25 hours.

(I) Find a 95% certainty span for the mean lifetime of batteries created by this

model.

(ii) Find a 99% certainty span for the mean lifetime of batteries created by this

model.

(iii) A designer asserts that the mean lifetime is somewhere in the range of 147 and 153 hours. With what

level of certainty can this assertion is made?

(iv) Approximately the number of batteries should be inspected with the goal that a 95% certainty

stretch will indicate the intend to inside 2 hours?

(v) Approximately the number of batteries should be examined so a 99% certainty

stretch will determine the intend to inside 2 hours

A Company scientist has been given the assignment of gathering data pretty much all representatives

inside the organization to more readily comprehend the adequacy of their advanced education pathway

program offered to all representatives. The likelihood that a worker has been at the organization

at least five years is 0.74, the likelihood that a representative has a Master's level certificate or

higher is 0.34, and the likelihood that an arbitrarily chosen worker has been at the organization

at least five years and has a Master's certificate is 0.12.

F. Of the individuals who have a graduate degree 35.29% have been at the organization at least 5 years

while those with lower degrees 93.94 % have been at the organization at least 5 years. Make a likelihood tree portraying the present circumstance.

Thank you kindly for responding to me. Would you be able to kindly answer the (iv) and (v) sub parts.

In an irregular example of 100 batteries delivered by a specific strategy, the normal

lifetime was 150 hours and the standard deviation was 25 hours.

(I) Find a 95% certainty span for the mean lifetime of batteries created by this

model.

(ii) Find a 99% certainty span for the mean lifetime of batteries created by this

model.

i21i

(iii) An architect guarantees that the mean lifetime is somewhere in the range of 147 and 153 hours. With what

level of certainty can this assertion is made?

(iv) Approximately the number of batteries should be tested with the goal that a 95% certainty

span will determine the intend to inside 2 hours?

(v) Approximately the number of batteries should be tested with the goal that a 99% certainty

span will determine the intend to inside 2 hours?

Determine whether the distribution is a discrete probability distribution. X P(x) 0 0.25 0.30 - 0.10 CO NO 0.30 4 0.25 Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O B. No, because some of the probabilities have values greater than 1 or less than 0. O C. No, because the total probability is not equal to 1. O D. Yes, because the distribution is symmetric.Question 2 (1 point) Saved Which distribution is used in reliability studies when there is a constant failure rate? Hypergeometric Probability Distribution Weibull distribution Binomial Probability Distribution O Exponential probability distributionA sample of 15 female collegiate golfers was selected and the clubhead velocity (km/hr) while swinging a driver was determined for each one, resulting in the following data. 69.0 69.7 73.5 78.2 79.0 85.0 86.0 86.3 86.7 87.7 89.3 90.7 91.0 92.5 93.0 The corresponding z percentiles are as follows. -1.83 -1.28 -0.97 -0.73 -0.52 -0.34 -0.17 0.0 0.17 0.34 0.52 0.73 0.97 1.28 1.83 Construct a normal probability plot. Clubhead Velocity Clubhead Velocity Clubhead Velocity Clubhead Velocity 95 95 95 95 90- 90- . . 901 . . . . . . . . .. 35- 85- 851 851 80 80 801 BO 5 . .. . . 75 75 - .... . 75 - 70 70 70 70- 65L 65 65 65 - 2 -1 0 2 -2 -1 N -2 -1 0 2 -2 -1 1 2 Is it plausible that the population distribution is normal? The plot shows some nontrivial departures from linearity, especially in the lower tail of the distribution. This indicates a normal distribution might not be a good fit to the population distribution of clubhead velocities for female golfers. The plot shows some nontrivial departures from linearity, especially in the lower tail of the distribution. This indicates a normal distribution might be a good fit to the population distribution of clubhead velocities for female golfers. The plot shows some nontrivial departures from linearity, especially in the upper tail of the distribution. This indicates a normal distribution might not be a good fit to the population distribution of clubhead velocities for female golfers. The plot is quite linear. This indicates a normal distribution might be a good fit to the population distribution of clubhead velocities for female golfers. The plot shows some nontrivial departures from linearity, especially in the upper tail of the distribution. This indicates a normal distribution might be a good fit to the population distribution of clubhead velocities for female golfers. The plot is quite linear. This indicates a normal distribution might not be a good fit to the population distribution of clubhead velocities for female golfers.Select all the possible explanation that why L1 regularization term is generally more effective at promoting sparsity than L2 regularization term O) Li regularization adds an L1 penalty equal to the square of the magnitude of coefficients. Lasso (L1) can be interpreted as linear regression for which the coefficients have Normal prior distributions. The Normal distribution concentrates its probability mass closer to zero. ) Lasso (L1) can be interpreted as linear regression for which the coefficients have Laplacian prior distributions. The Laplacian distribution concentrates its probability mass closer to zero. O The constraint region defined by the Li norm is a square rotated so that its corners lie on the axes. A convex object that lies tangent to the boundary is likely to encounter the corner