he gathering of particles in a suspension is 50 for every mL. A 5 mL volume of the

suspension is taken out.

a. What is the probability that the amount of particles eliminated will be among 235 and

265?

b. What is the probability that the typical number of particles per mL in the draw out model

is some place in the scope of 48 and 52?

c. If a 10 mL test is taken out, what is the probability that the typical number per mL

of particles in the eliminated model is some place in the scope of 48 and 52?

d. How gigantic a model ought to be taken out with the objective that the ordinary number of particles per mL in

the model is some place in the scope of 48 and 52 with probability 95%?

In a self-assertive illustration of 100 batteries made by a particular procedure, the typical

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

(I) Find a 95% conviction length for the mean lifetime of batteries made by this

model.

(ii) Find a 99% conviction length for the mean lifetime of batteries made by this

model.

(iii) An originator states that the mean lifetime is some place in the scope of 147 and 153 hours. With what

level of conviction can this statement is made?

(iv) Approximately the quantity of batteries ought to be examined with the objective that a 95% assurance

stretch will demonstrate the expect to inside 2 hours?

(v) Approximately the quantity of batteries ought to be analyzed so a 99% assurance

stretch will decide the plan to inside 2 hours

A Company researcher has been given the task of social affair information practically all agents

inside the association to all the more promptly appreciate the sufficiency of their high level training pathway

program offered to all delegates. The probability that a specialist has been at the association

at any rate five years is 0.74, the probability that a delegate has a Master's level testament or

higher is 0.34, and the probability that a subjectively picked specialist has been at the association

at any rate five years and has a Master's authentication is 0.12.

F. Of the people who have an advanced education 35.29% have been at the association at any rate 5 years

while those with lower degrees 93.94 % have been at the association at any rate 5 years. Make a probability tree depicting the current condition.

Much thanks to you benevolent for reacting to me. Would you have the option to compassionately answer the (iv) and (v) sub parts.

In an unpredictable illustration of 100 batteries conveyed by a particular methodology, the ordinary

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

(I) Find a 95% assurance range for the mean lifetime of batteries made by this

model.

(ii) Find a 99% assurance range for the mean lifetime of batteries made by this

model.

i21i

(iii) A planner ensures that the mean lifetime is some place in the scope of 147 and 153 hours. With what

level of assurance can this affirmation is made?

(iv) Approximately the quantity of batteries ought to be tried with the objective that a 95% conviction

length will decide the expect to inside 2 hours?

(v) Approximately the quantity of batteries ought to be tried with the objective that a 99% conviction

length will decide the plan to inside 2 hours?

2. DISJOINT. (a.k.a.\"Mutually Exclusive\") Explain the concept of disjoint. What is special about {A U B} and {A n B} for disjoint events A, B? '. Disjoint In logic and probability theory, two events are said to be mutually exclusive or disjoint if the two events cannot occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both at the same time. xample 1: If there are four queens in a deck of 52 playing cards, what is the probability of drawing a queen (event A)? Probability: P(A) = Example 1: If there are four queens in a deck of 52 playing cards, what are the betting odds of drawing a queen (event A)? Betting Odds: odds(A) - Example 2: With an eight-sided die, what is the probability of rolling a seven (event B)? Probability: P(B) = Example 7: With an eight-sided die, what are the betting odds of rolling a seven (event B)7, Betting Odds: odds(B) - Example 3: What is the probability of a fair coin turning up heads (event C)? Probability: P(C) - Example 3: What are the betting odds of a fair coin turning up heads (event c)? Betting Odds: odds(C) -1. ( 6 pts ) In probability theory, a tool to compute probabilities of certain kinds of events is a probability density function. In order for a function /(x) to be a probability density function, it must be true that [ ((x) dx =1. Find a value for the constant 4 so that the function / below satisfies the condition above (in other words, f is a probability density function) 0 f(x) C