DESPITE REPEATED ADMONITIONS FROM THE CAPT ABOUT EXPECTED TURB AND DESPITE THE SEATBELT SIGN BEING ON; 1 CABIN ATTENDANT AND 2 PAX ARE INJURED ABOARD B737-800 NEAR ADYNA INTXN.

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IN SMOOTH AIR AT FL340; I TURNED THE SEATBELT SIGN OFF AND MADE AN ANNOUNCEMENT TO THE PAX THAT I REALIZED THE SIGN HAD BEEN ON SINCE TKOF AND THAT I WOULD BE TURNING IT OFF FOR 10 MINS. I ALSO ANNOUNCED THAT IN ABOUT 10 MINS I WAS GOING TO HAVE TO TURN THE SIGN BACK ON AND THEY WOULD HAVE TO RETURN TO THEIR SEATS AT THAT TIME. I ALSO SPOKE WITH THE LEAD FLT ATTENDANT AND WE DISCUSSED SVC. I TOLD HER SHE COULD POSSIBLY SERVE DRINKS TO FIRST CLASS. WE ALSO DISCUSSED THAT IT WOULD NOT BE A GOOD IDEA FOR THE FLT ATTENDANTS IN THE BACK TO BRING THE SVC CART INTO THE AISLE BECAUSE I WAS GOING TO TURN THE SIGN BACK ON IN A SHORT TIME. I MENTIONED THEY COULD PASS OUT BOTTLES OF WATER IF THEY WISHED. THE FLT CONTINUED IN SMOOTH AIR FOR ABOUT 10 MINS. 70 MI FROM ADYNA; I TURNED THE SEATBELT SIGN BACK ON AND MADE AN ANNOUNCEMENT FOR THE PAX TO RETURN TO THEIR SEATS. THERE WAS A SOLID LAYER OF CIRRUS CLOUDS STARTING PRIOR TO ADYNA. NO WX RADAR RETURNS WERE INDICATED ON OUR RADAR. ABOUT 3 MINS AFTER I TURNED THE SEATBELT SIGN ON; WE ENTERED THE CLOUDS AND EXPERIENCED A BRIEF ENCOUNTER OF MODERATE TURB. THE FLT THEN CONTINUED ON THROUGH LIGHT TURB WITH OCCASIONAL MODERATE CHOP. 1 FLT ATTENDANT WAS INJURED DURING THE INITIAL TURB. 2 OTHER PAX ALSO RPTED INJURIES; ONE TO HIS TAILBONE; THE OTHER TO HER ELBOWS AND KNEES. THE FLT ATTENDANT WAS ATTENDED TO BY A DOCTOR AND A NURSE. SHE WAS 7 WKS PREGNANT AND THE DOCTOR STATED THAT THE BABY WAS SHOWING NO SIGNS OF DISTRESS. SHE RPTED SEVERE PAIN TO HER LEG NEAR THE HIP. I CONTACTED OUR COMPANY WITH A REQUEST TO HAVE PARAMEDICS MEET THE FLT ON OUR ARR. I ALSO PASSED ON INFO ABOUT THE FLT ATTENDANT AS WELL AS THE OTHER 2 PAX.