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What is the probability that among 16 randomly observed individuals, fewer than 6 do not cover their mouth when sneezing? Using the binomial distribution, the probability is Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? Yes, it would be surprising, because using the binomial distribution, the probability is enter your response here

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Part F What does your result for the potential energy U(x=+L)U(x=+L) become in the limit a→0a→0? Express your answer in terms of some or all of the variables QQ, qq, aa, LL, electric constant ϵ0ϵ0, and ππ. View Available Hint(s)for Part F Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type U(x=+L)U(x=+L) = nothing

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A lady in the exam room suddenly becomes clammy and says she need to lie down. What’s the next step the Medical Assistant should take?

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Plants also have a glucose storage molecule called amylose. Amylose contains the exact same type of α1,4 and α1,6 bonds as glycogen but contains fewer α1,6 bonds per every equivalent number of glucose molecules. This means amylose has fewer branches than glycogen.

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Find the probability of getting face number 5 or 6 at least three times in six tosses of a dice.

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What is the indefinite antiderivative of secxtanx? a. sinxcosx-tanx+C b. -sinx+cosx+5 c. csc²x-x+1 d. secx+C

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Alice has a bag filled with 3(1)/(5) lb. of apples. If Barbara removes (3)/(4) lb. of apples from the bag, how many lb. of apples remain in the bag?

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Q1) The rules of CFG G? is given below: S ? A A ? BAB | B | ? B ? 0 | 1 | 1 | ? a) Obtain an equivalent CFG G? by eliminating ? productions in G? (except starting variable). b) Obtain an equivalent CFG G? by eliminating unit productions in G?. Q2) The rules of CFG G? is given below: S ? A1B A ? 0A | 1 | ? B ? 0B | 1B | ? a) Give leftmost derivation of the string 0001101 via G?. Show the derivation sequence step-by-step starting from S. b) Give rightmost derivation of the string 0001101 via G?. Show the derivation seq. step-by-step starting from S. Q3) Form a CFG G? for the given regular expression: a'(ba+ab)b'. Write the rules of G? by using exactly 3 variables: (S, X, Y) Q4) Construct a DFA M? accepts those strings in L, where L = {w | w contains at most one y and at least two xs). a) Draw the complete (including all transitions) state transition diagram of M?. Q is a finite set, whose elements are states of M?. |Q| = 7 b) Assume transition function ? is given as state transition diagram in Q4a. Define M? in 5-tuple. c) Does M? accepts or rejects the given strings? xxxx xxxy xxyy xyyy

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A force \vec{F} = F\hat{j} is applied to an object at a position \vec{r} = x\hat{i} + y\hat{j} + z\hat{k} where the origin is at the cm. Does the torque about the cm depend on x? On y? On z?

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-2 -1 0 1 2 P(X = x) 0.2 0.2 0.2 0.1 0.3 Find the standard deviation. Round your answer to one decimal place. Find the variance. Round your answer to one decimal place. Find the value of P(X > 0). Round your answer to one decimal place. Find the value of P(X ≥ 0). Round your answer to one decimal place.

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