1. A radar unit is used to measure the speed of automobiles on the expressway during the rush-hour traffic. The observer measures 76 cars and obtains the mean speed of 62.0 mph. For reference, compare this problem with Problem 1 of EX 07. (a) Assuming the standard deviation is about 4.95 mph, find the 95% confidence interval of the mean speed of the cars. (b) Find the 95% upper confidence bound, using the standard deviation of Part (a). (c) If the 90% upper confidence bound is 63.5 mph, what is the standard deviation? (d) Find the 98% confidence interval, using the standard deviation of Part (c). (e) Find the 99% lower confidence bound, using the standard deviation of Part (c).

Q: Refer to Table 2. The mode is

A: mode is most frequency value

Q: What do the symbols mx and sx represent?

A: Introduction Statistics is a field which involves collection, arrangement and analysis of the data…

Q: 2. Which of the following simplifies to -1? А. I В. 2 c. ³ D. A

A: We have to simplify

Q: If A={a,b}, what is A times A?

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Q: 2. -36 = Jo निरি 12 √उ

A: Simplifying the square roots

Q: Let A = -4 2 [33] - 3 - 4 Find - 2A. - 2A =

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: 1. Suppose we have a six-sided die that we roll once. Let ai represent the event that the result is…

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Q: 2 2 J 1 2 3

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Q: 4. Evaluate aemz+be mz

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Q: 5 a. Evaluate 2cos4t 3

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Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: 3 If A = - 1 Then ||All = -2 4 Select one: а. 3 b. 6 C. 5 d. 4

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Q: Q.8 Evaluate: n-l'n' Pdx=

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Q: for

A: This is not a symbol.

Q: H.W: Find the domoin of y = X+3 4-[xt-q

A: Explanation of the solution is given below...

Q: 11C6

A: we know that,Cr=n!(n-r)!×r!nand r!=r(r-1)(r-2).....×2×1

Q: Please answer the subparts d and e. thank you!

A: Solution

Q: = (六) 2.2 十

A: Given  RR=12.2+110+14.7-1RR=0.45454545+110+14.7-1RR=0.45454545+0.1+0.114942528-1

Q: 3 4 1 2 -2 -1 6 -3| Select one: а. 4 b. -40 C. 40 d. -4

A: Solve for the determinants

Q: We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198…

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Q: standard error.

A: a. The given information in Non-college Grades Y=2890      Average salariessY=520     standard…

Q: -8- 11. YA 5- y = 5 y= 2x + 1 3- 2 y =2 1+ 1 2 3 The diagram shows the lines y = 2 and y = 5 and…

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Q: Let y=cscx then d³ y dx³

A: I am attaching image so that you understand each and every step.

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: Which of the following is correct? a. 6| 20 c. 8 4 b. 3 |26 d. 4 8 O d O c O b O a

A: The expression  implies that a divides b . It implies that if b is divided by a , then the remainder…

Q: C. P(Hybrid AND Black) = 37/271 D. P(Standard OR Green) = 167+70-42/271 E. P(Hybrid GIVEN Blue) =…

A: Yes your answers are correct.   c)P(Hybrid and black)= n(Hybrid and black)/ n(Total cars) P(Hybrid…

Q: mplify the expression 1 2 16 C. 2 2 1. В. D. 2 4 41 64 21 192 O D

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Q: 2 e2xdx

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Q: R 1 Uo 2 Tr dr R TR?

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Q: 1411. Following are the values of x (independent able) and y (dependent variable). Find the value of…

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.