1. S = 7n n=1 S = 2 +++ 1 1 1 1 + + .. 8. 16 2. 1. 1 + 5' 25 125 ' 625 1 4. S = 1- +

Q: O A. HO: µ= 4.00 H1. p 4.00 O C. HO: p = 4.00 H1. p 4.00 O D. HO: p 4.00 H1. p = 4.00

A: Option c) is correct.

Q: 7. When a vehicle is said to be travelling at -35 km/h, what does this infer?

A: We can explain the answer in the following steps.

Q: What the meon of the probottity etritution t

A: Here make probability distribution and calculate Mean ,variance and standard deviation  X = number…

Q: 15 - How many significant figures are there in the number of 0.0308000?

A: The rule is: the zero before the non zero digit are considered as insignificant

Q: 1 0 0.5 0.5 P 1 1) P2 : 0.75 0.25 1 2) P4 2.5 0.625 3) P5 出 ||

A: p5=p4.p

Q: 10 Eu, = 6. %3D 1.3.5 for this series ...* ....... 3.5.7 5.7.9 ans.

A: It is given that ∑un=61·3·5+83·5·7+105·7·9+······

Q: de 7. S V8+68-02

A: Solution: 7.    ∫dθ8+6θ-θ2

Q: Find toybr series for " fex)=62 1-27

A:

Q: false

A:

Q: 1) y = (In 4)* + In - (In va) (Inx)2

A:

Q: 28 с 3D --qt

A:

Q: 1. N = 10, 000 and e = 1% %3D 2. N = 15, 000 and e = 5% 3. N = 30, 000 and e = 10% %3D

A: Given : N : Population size e : Margin of error 1. N = 10,000 and e = 1% = 0.01 2. N = 15,000 and e…

Q: how do you solve pythagerom therom

A: We need to write about the Pythagorean theorem.

Q: (7) How many times must a mumber n be divided by 6 until the result is smaller than or equal to 216?

A: Given data is: How many times must a number n be divided by 6 until the result is smaller than or…

Q: Sec o

A: The solution is given in the next step.

Q: 49. V sec /

A: Given query is to the derivative and dou ke derivative of the expression.

Q: İs it true ore false?

A: The mean of the Binomial distribution is equal to np.  That is, E(x) = np Here n is the sample size…

Q: 2 + 15 show tha e is irational number

A:

Q: 1 1 3 1 5 S. 5 4 13 5 29 п +-+ –+…+ ...2 2 4+n²

A:

Q: 7. OA 12 8. OB V185 9. OB V85 12 11

A:

Q: Find L{(5 pan+1 – 4)*} t** 5(2n+1)! 2n+2 25(4n+2)! s4n+3 16 40(2n+1)! g2n+2 O 25(4n+2)! 16 34n+3…

A: Please see the answer below.

Q: 1+ Sn 2

A: To evaluate the integral of the given trigonometric function

Q: 12 3 n +2 (b) 2 = 2 – 2n + ..+ 22 23 2n lia on intege

A: (b)  To prove : 12+222+323+.....+n2n=2-n+22n for all n≥1   For n=1,  LHS : 12 RHS : 2-1+22=12= LHS…

Q: ole

A: We have to solve given differential equation:

Q: 7.In how many minutes after 7 o' clock will the hands of the clock be directly opposite each other…

A: As per our guidelines,  we can not solve more than one question. Kindly repost the second question…

Q: Ση 1 In 3" n=1

A: given,∑n=1∞ln13n = ∑n=1∞ln (3-n) =∑n=1∞ -n ln(3)   [since ln(ab) = b ln(a)]∴∑n=1∞ln13n = ∑n=1∞ -n…

Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration.

Q: 1. O P(X=4) = 0,0512 2. O P(X=4) = 0,0579 3. O Lainnya/other 4. O P(X=4) = 0,0067

A: Given that  Number of trials n=5 Success of probability p =0.20 X~binomial (n, p)

Q: Find s12 for the series 2 + 8 + 32 + 128 + …

A: ? Answer is  11,184,810

Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: Given that a sample contains 100 bacteria.  Bacteria doubles its population in every 6 hours. To…

Q: P(-1.18<z≤ _________ )=0.6327   2. P ( ____ ≤z<0.85)=0.6363

A: we have to find probability for normal distribution.

Q: 1. 13 in. 8 in. 5 in. LSA= TSA= V=

A:

Q: How is the substituation made from Eq.1 to be become S

A:

Q: 1 - of 17. A recipe calls for 1 tsp of mustard seeds, 3 c of tomato sauce, 1 1 c of beans. If one…

A: Given: A recipe calls for 1 tsp of mustard seeds, 3c of tomato sauce, 3/2c of chopped scallions, and…

Q: 1 1 1) In 2 2 ln 4 3 In 6 4ln 8 +(-1)*1 ........ ....... nln 2n

A: Given: 1ln2-12ln4+13ln6-14ln8+......+-1n-11nln2n+....…

Q: 3. 4. 0.31 P(x) 0.08 025 0.34 0.04 1. 0.03 P(x) 0.22 1.01 0.23 0.02 5. 3 0.34 4. P(x) 5. 0.06 0.05…

A: Condition for discrete probability distribution.  ∑P(x)=1

Q: A new computer circuit was tested and the times (in nanoseconds) required to carry out different…

A: The formula of correlation is,

Q: 7 4 In GL(2,Z13), det 1 4 5 O 35 O 1 9.

A:

Q: Divide 1.5055×10^11 by 2.5×10^-11 A 6.022×10^23 B 6.022×10^0 C 6.022×10^22 D 6.022×10^21

A: Given: 1.5055×10112.5×10-11

Q: if we roll a die once find p(less than 3) or p(e even number)?

A: Consider,Sample space = {1,2,3,4,5,6}Let A be the event that shows outcomes are less than 3.B be the…

Q: 7 4 In GL(2,Z13), det 1 4 O 5 11 35 9. о O O

A: 11

Q: 1-+- (-1)"4 (2n)! +. 4! 6! 3 -+- + (-1)"gm+1 + +. 5! (2n+1)!

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: Determine S18 for the series 12 + 5 − 2 +..

A:

Q: 1.6 2.5 0.3261 0.08422 3.5 0.01596

A: Given as,

Q: tanh (ir (3) O 0.70710720° O 0.8660Z - 90° O 1.414214/180° O 1.7321/90°

A:

Q: S, =Ene пе n=1

A:

Q: Which of the following can be transition matrices of aMarkov process?

A: The property of transition matrix of Markov process(also known as Stochastic matrix) is that the sum…

Q: 0.12093 He(s) = %3D (s2 +0.3640s +0.4945)(s2 +0.9945s + 0.4945)(s2 + 1.3585s + 0.4945)

A: We need to find the Partial fraction expansion in the image below. So,…

Q: ᴡʜɪᴄʜ ᴏꜰ ᴛʜᴇ ɢɪᴠᴇɴ ᴄɪʀᴄᴜʟᴀʀ ꜰᴜɴᴄᴛɪᴏɴ ɪꜱ ᴘᴏꜱɪᴛɪᴠᴇ? ᴀ. ᴄᴏꜱ (−₃π/₅) ᴄ. ꜱᴇᴄ (₄π/₇) ʙ. ꜱɪɴ (₁₁π/₄) ᴅ.…

A: In Second Quadrant  Sin and cosec theta value are positive  All other trigonometric ratios are…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!